GCF Calculator

Inputs

Results update as you type.

Numbers
Equal pieces of the GCFEach length cut into equal pieces of 12 (GCF)242 pcs363 pcs605 pcsmyconstructioncalculator.com
Diagram updates as you type.

Results

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Greatest common factor (GCF / HCF)
12
Common factors1, 2, 3, 4, 6, 12
24 in prime factors2³ × 3
36 in prime factors2² × 3²
60 in prime factors2² × 3 × 5
GCF in prime factors2² × 3
Least common multiple (LCM)360
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Working
  1. Prime factors: 24 = 2³ × 3; 36 = 2² × 3²; 60 = 2² × 3 × 5
  2. GCF = only the primes in every number, at their lowest power = 2² × 3 = 12
  3. Euclid's method (divide, keep the remainder, repeat until it is 0): 36 = 1 × 24 + 12; 24 = 2 × 12 + 0; 60 = 5 × 12 + 0. The last divisor is 12.
  4. Check: 24 ÷ 12 = 2, 36 ÷ 12 = 3, 60 ÷ 12 = 5 (all whole numbers)

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GCF Calculator byMy Construction Calculator: free construction calculators with the working shown.