Kalkulator FPB & KPK

Kalkulator ini memberikan perhitungan instan dan akurat di bidang ini. Masukkan data Anda dan dapatkan hasil segera dengan penjelasan yang jelas. Alat gratis ini bekerja sepenuhnya di browser Anda — tanpa transfer data, tanpa registrasi.

Perhitungan akurat di bidang ini memerlukan pemahaman rumus dan standar yang mendasarinya. Kalkulator kami menerapkan metode yang paling banyak diterima yang direkomendasikan oleh lembaga internasional dan konsensus ilmiah. Hasilnya berguna untuk keuangan pribadi, pemantauan kesehatan, proyek teknis, atau tujuan pendidikan. Alat ini memproses data Anda secara lokal untuk menjaga privasi. Gratis, tanpa registrasi.

What are GCD and LCM?

The Greatest Common Divisor (GCD) — also called Greatest Common Factor (GCF) or Highest Common Factor (HCF) — is the largest positive integer that divides all given numbers without a remainder. Example: GCD(12, 18) = 6, because 6 is the largest number that divides both. The Least Common Multiple (LCM) is the smallest positive integer that is divisible by all given numbers. Example: LCM(4, 6) = 12. These two values are mathematically related by the identity: GCD(a,b) × LCM(a,b) = a × b. Our calculator uses the Euclidean algorithm — one of the oldest algorithms in existence, dating to ~300 BCE — and shows every step so you can follow the process.

Real-world uses of GCD and LCM

GCD is used to simplify fractions to their lowest terms (e.g., 12/18 → divide both by GCD(12,18)=6 → 2/3). LCM is used whenever you need to find a common cycle: bus schedules synchronising at the same stop, medication doses given at different intervals that coincide, gear ratios in mechanical systems, and recurring payment cycles in finance. If two events repeat every 4 and 6 days respectively, LCM(4,6) = 12 tells you they next coincide in 12 days. Combine with our Prime Number Checker for deep number theory exploration.