what is the gcf of 12 and 20

Video Gcf of 12 and 20GCF of 12 and 20GCF of 12 and 20 is the largest number that can be divided by 12 and 20 exactly without remainder. The factors of 12 and 20 are 1, 2, 3, 4, 6, 12 and 1, 2, 4, 5, 10, 20 respectively. There are 3 commonly used methods to find the GCF of 12 and 20 – prime factorization, long division, and the Euclidean algorithm. 1. GCF of 12 and 20 2. List of methods 3. Solved examples 4. FAQAnswer: The GCF of 12 and 20 is 4. Read: what is the gcf of 12 and 20 Explanation: The GCF of two non-zero integers, x(12) and y(20), is the largest positive integer m(4) that divides both x(12) and y(20) without any remainder. Virginia – Full Explanation in 2 Minutes Methods to find the GCF of 12 and 20 are explained below.

  • Using Euclidean algorithm
  • Long division method
  • The prime factorization method

GCF of 12 and 20 according to Euclidean Algorithm

According to the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y) where X > Y and mod is the modulo operator. Here X = 20 and Y = 12

  • GCF (20, 12) = GCF (12, 20 mod 12) = GCF (12, 8)
  • GCF(12, 8) = GCF(8, 12 mod 8) = GCF(8, 4)
  • GCF(8, 4) = GCF(4, 8 mod 4) = GCF(4, 0)
  • GCF(4, 0) = 4 (∵ GCF(X, 0) = |X|, where X ≠ 0)

Therefore, the value of the GCF of 12 and 20 is 4.

GCF of 12 and 20 by Long Division

GCF of 12 and 20 by Long DivisionRead more: What shouldn’t be said with the litemGCF guardian of 12 and 20 is the divisor we get when the remainder becomes 0 after performing continuous long division.

  • Step 1: Divide 20 (larger number) by 12 (smaller number).
  • Step 2: Since the remainder is ≠ 0, we will divide the divisor of step 1 (12) by the remainder (8).
  • Step 3: Repeat this process until remainder = 0.
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The corresponding divisor (4) is the GCF of 12 and 20.

GCF of 12 and 20 as prime factors

GCF of 12 and 20 as prime factorsThe primes of 12 and 20 are (2 × 2 × 3) and (2 × 2 × 5), respectively. As can be seen, 12 and 20 have common prime factors. Therefore, the GCF of 12 and 20 is 2 × 2 = 4.☛ Also check:Read more: What is 1/2 cup 1/4

  • GCF of 15 and 25 = 5
  • GCF is 72 and 96 = 24
  • GCF of 105 and 90 = 15
  • GCF of 12 and 24 = 12
  • GCF of 6 and 21 = 3
  • GCF of 9 and 15 = 3
  • GCF is 72 and 90 = 18

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