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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
- 1Euclidean Algorithm: repeatedly divide, then swap: GCF(a,b) = GCF(b, a mod b)
- 2Continue until remainder = 0
- 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