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The Greatest Common Factor (GCF), also called Greatest Common Divisor (GCD), is the largest positive integer that divides both numbers without a remainder. It is used to simplify fractions and solve equations.

단계별 가이드

  1. 1Euclidean Algorithm: repeatedly divide, then swap: GCF(a,b) = GCF(b, a mod b)
  2. 2Continue until remainder = 0
  3. 3The last non-zero remainder is the GCF

풀어진 예시

입력
GCF(48, 18)
결과
6
48=6×8, 18=6×3
입력
GCF(100, 75)
결과
25
GCF(100,75)=GCF(75,25)=GCF(25,0)=25

설정

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