"互いに素" meaning in 日本語

See 互いに素 in All languages combined, or Wiktionary

Phrase

  1. 0ではない二つの整数が、共通の素因数を持たないこと。すなわち、二つの整数の最大公約数が 1 であるとき、これら二つの整数の関係。例えば、8と9など。既約分数の分母と分子はこの関係にある。
    Sense id: ja-互いに素-ja-phrase-G85zZK-Y Categories (other): 日本語 数論 Topics: number-theory
  2. 二つの集合に共通部分がないこと。
    Sense id: ja-互いに素-ja-phrase-VX0zVom1 Categories (other): 日本語 集合論 Topics: set-theory
The following are not (yet) sense-disambiguated
Related terms: 素因数, 分数, 既約分数, 約分, 公約数, 最大公約数 Translations: premiers entre eux (フランス語), 互素 (北京官話), 互質 (北京官話), 互质 (北京官話), 서로소 (朝鮮語), coprime (英語), relatively prime (英語), disjoint (英語)
{
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "phrase",
  "pos_title": "成句",
  "related": [
    {
      "word": "素因数"
    },
    {
      "word": "分数"
    },
    {
      "word": "既約分数"
    },
    {
      "word": "約分"
    },
    {
      "word": "公約数"
    },
    {
      "word": "最大公約数"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 数論",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "0ではない二つの整数が、共通の素因数を持たないこと。すなわち、二つの整数の最大公約数が 1 であるとき、これら二つの整数の関係。例えば、8と9など。既約分数の分母と分子はこの関係にある。"
      ],
      "id": "ja-互いに素-ja-phrase-G85zZK-Y",
      "topics": [
        "number-theory"
      ]
    },
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 集合論",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "二つの集合に共通部分がないこと。"
      ],
      "id": "ja-互いに素-ja-phrase-VX0zVom1",
      "topics": [
        "set-theory"
      ]
    }
  ],
  "tags": [
    "idiomatic"
  ],
  "translations": [
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "coprime"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "relatively prime"
    },
    {
      "lang": "フランス語",
      "lang_code": "fr",
      "word": "premiers entre eux"
    },
    {
      "lang": "朝鮮語",
      "lang_code": "ko",
      "word": "서로소"
    },
    {
      "lang": "北京官話",
      "lang_code": "cmn",
      "word": "互素"
    },
    {
      "lang": "北京官話",
      "lang_code": "cmn",
      "word": "互質"
    },
    {
      "lang": "北京官話",
      "lang_code": "cmn",
      "word": "互质"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "disjoint"
    }
  ],
  "word": "互いに素"
}
{
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "phrase",
  "pos_title": "成句",
  "related": [
    {
      "word": "素因数"
    },
    {
      "word": "分数"
    },
    {
      "word": "既約分数"
    },
    {
      "word": "約分"
    },
    {
      "word": "公約数"
    },
    {
      "word": "最大公約数"
    }
  ],
  "senses": [
    {
      "categories": [
        "日本語 数論"
      ],
      "glosses": [
        "0ではない二つの整数が、共通の素因数を持たないこと。すなわち、二つの整数の最大公約数が 1 であるとき、これら二つの整数の関係。例えば、8と9など。既約分数の分母と分子はこの関係にある。"
      ],
      "topics": [
        "number-theory"
      ]
    },
    {
      "categories": [
        "日本語 集合論"
      ],
      "glosses": [
        "二つの集合に共通部分がないこと。"
      ],
      "topics": [
        "set-theory"
      ]
    }
  ],
  "tags": [
    "idiomatic"
  ],
  "translations": [
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "coprime"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "relatively prime"
    },
    {
      "lang": "フランス語",
      "lang_code": "fr",
      "word": "premiers entre eux"
    },
    {
      "lang": "朝鮮語",
      "lang_code": "ko",
      "word": "서로소"
    },
    {
      "lang": "北京官話",
      "lang_code": "cmn",
      "word": "互素"
    },
    {
      "lang": "北京官話",
      "lang_code": "cmn",
      "word": "互質"
    },
    {
      "lang": "北京官話",
      "lang_code": "cmn",
      "word": "互质"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "disjoint"
    }
  ],
  "word": "互いに素"
}

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This page is a part of the kaikki.org machine-readable 日本語 dictionary. This dictionary is based on structured data extracted on 2025-09-12 from the jawiktionary dump dated 2025-09-01 using wiktextract (87a8c9b and 8a561cd). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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