The Greatest Common Divisor Function is Symmetric

Name: Work Video:
Duration: 3 min 30 s
Description: With this algorithm you can easily find the greatest common divisor of two numbers even with large numbers of figures and the same can be done if you want to find the greatest common divisor of polynomials easily and also complex numbers.
Pedro Hugo García Peláez
{'id': 'https://openalex.org/W2947649114', 'doi': None, 'title': 'The Greatest Common Divisor Function is Symmetric', 'display_name': 'The Greatest Common Divisor Function is Symmetric', 'publication_year': 2019, 'publication_date': '2019-05-01', 'ids': {'openalex': 'https://openalex.org/W2947649114', 'mag': '2947649114'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://vixra.org/abs/1905.0571', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2883122597', 'display_name': 'viXra', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5007780112', 'display_name': 'Pedro Hugo García Peláez', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Pedro Hugo García Peláez', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5007780112'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 61}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T14500', 'display_name': 'Advanced Mathematical Theories', 'score': 0.6303, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T14500', 'display_name': 'Advanced Mathematical Theories', 'score': 0.6303, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/greatest-common-divisor', 'display_name': 'Greatest common divisor', 'score': 0.89578635}, {'id': 'https://openalex.org/keywords/divisor-function', 'display_name': 'Divisor function', 'score': 0.70014775}, {'id': 'https://openalex.org/keywords/least-common-multiple', 'display_name': 'Least common multiple', 'score': 0.6408793}], 'concepts': [{'id': 'https://openalex.org/C125257309', 'wikidata': 'https://www.wikidata.org/wiki/Q131752', 'display_name': 'Greatest common divisor', 'level': 2, 'score': 0.89578635}, {'id': 'https://openalex.org/C203492994', 'wikidata': 'https://www.wikidata.org/wiki/Q909669', 'display_name': 'Divisor (algebraic geometry)', 'level': 2, 'score': 0.85103315}, {'id': 'https://openalex.org/C67056277', 'wikidata': 'https://www.wikidata.org/wiki/Q915474', 'display_name': 'Divisor function', 'level': 3, 'score': 0.70014775}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.69579506}, {'id': 'https://openalex.org/C102607178', 'wikidata': 'https://www.wikidata.org/wiki/Q102761', 'display_name': 'Least common multiple', 'level': 2, 'score': 0.6408793}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.52826273}, {'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.5067001}, {'id': 'https://openalex.org/C204911207', 'wikidata': 'https://www.wikidata.org/wiki/Q860609', 'display_name': 'Generating function', 'level': 2, 'score': 0.41089964}, {'id': 'https://openalex.org/C94375191', 'wikidata': 'https://www.wikidata.org/wiki/Q11205', 'display_name': 'Arithmetic', 'level': 1, 'score': 0.33016488}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.051347554}, {'id': 'https://openalex.org/C78458016', 'wikidata': 'https://www.wikidata.org/wiki/Q840400', 'display_name': 'Evolutionary biology', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://vixra.org/abs/1905.0571', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2883122597', 'display_name': 'viXra', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W86548041', 'https://openalex.org/W3006360025', 'https://openalex.org/W2992540410', 'https://openalex.org/W2948104714', 'https://openalex.org/W2947351511', 'https://openalex.org/W2917630306', 'https://openalex.org/W2391305499', 'https://openalex.org/W2386524128', 'https://openalex.org/W2359746619', 'https://openalex.org/W2357640132', 'https://openalex.org/W2103003180', 'https://openalex.org/W2075269241', 'https://openalex.org/W2070984965', 'https://openalex.org/W2051655072', 'https://openalex.org/W2018338763', 'https://openalex.org/W2014912941', 'https://openalex.org/W1971300305', 'https://openalex.org/W1529753904', 'https://openalex.org/W1481027507', 'https://openalex.org/W119464652'], 'abstract_inverted_index': {'With': [0], 'this': [1], 'algorithm': [2], 'you': [3, 27], 'can': [4, 23], 'easily': [5, 37], 'find': [6, 30], 'the': [7, 21, 31], 'greatest': [8, 32], 'common': [9, 33], 'divisor': [10, 34], 'of': [11, 18, 35], 'two': [12], 'numbers': [13, 17], 'even': [14], 'with': [15], 'large': [16], 'figures': [19], 'and': [20, 38], 'same': [22], 'be': [24], 'done': [25], 'if': [26], 'want': [28], 'to': [29], 'polynomials': [36], 'also': [39], 'complex': [40], 'numbers.': [41]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2947649114', 'counts_by_year': [], 'updated_date': '2024-12-08T08:38:51.096358', 'created_date': '2019-06-07'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
