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GCF of 24 and 40

GCF of 24 and 40 is the most important attainable quantity that divides 24 and 40 precisely with none the rest. The elements of 24 and 40 are 1, 2, 3, 4, 6, 8, 12, 24 and 1, 2, 4, 5, 8, 10, 20, 40 respectively. There are 3 generally used strategies to seek out the GCF of 24 and 40 – lengthy division, Euclidean algorithm, and prime factorization.

1. GCF of 24 and 40 2. Record of Strategies 3. Solved Examples 4. FAQs

Reply: GCF of 24 and 40 is 8.

Studying: what’s the gcf of 24 and 40

GCF of 24 and 40

Clarification:

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The GCF of two non-zero integers, x(24) and y(40), is the best constructive integer m(8) that divides each x(24) and y(40) with none the rest.

Let’s take a look at the totally different strategies for locating the GCF of 24 and 40.

  • Lengthy Division Methodology
  • Itemizing Frequent Components
  • Prime Factorization Methodology

GCF of 24 and 40 by Lengthy Division

GCF of 24 and 40 by Long Division

GCF of 24 and 40 is the divisor that we get when the rest turns into 0 after doing lengthy division repeatedly.

  • Step 1: Divide 40 (bigger quantity) by 24 (smaller quantity).
  • Step 2: For the reason that the rest ≠ 0, we’ll divide the divisor of step 1 (24) by the rest (16).
  • Step 3: Repeat this course of till the rest = 0.

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The corresponding divisor (8) is the GCF of 24 and 40.

GCF of 24 and 40 by Itemizing Frequent Components

  • Components of 24: 1, 2, 3, 4, 6, 8, 12, 24
  • Components of 40: 1, 2, 4, 5, 8, 10, 20, 40

There are 4 frequent elements of 24 and 40, which might be 8, 1, 2, and 4. Due to this fact, the best frequent issue of 24 and 40 is 8.

GCF of 24 and 40 by Prime Factorization

GCF of 24 and 40 by Prime Factorization

Prime factorization of 24 and 40 is (2 × 2 × 2 × 3) and (2 × 2 × 2 × 5) respectively. As seen, 24 and 40 have frequent prime elements. Therefore, the GCF of 24 and 40 is 2 × 2 × 2 = 8.

☛ Additionally Examine:

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  • GCF of 42 and 63 = 21
  • GCF of 5 and 25 = 5
  • GCF of 14 and 15 = 1
  • GCF of 75 and 100 = 25
  • GCF of 26 and 39 = 13
  • GCF of seven and 35 = 7
  • GCF of 4 and 12 = 4

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