what is the hcf of 12 and 18

Video Hcf of 12 and 18HCF is 12 and 18HCF of 12 and 18 is the largest number that can be divided by 12 and 18 exactly without remainder. The factors of 12 and 18 are 1, 2, 3, 4, 6, 12 and 1, 2, 3, 6, 9, 18 respectively. There are 3 commonly used methods to find the HCF of 12 and 18 – long division, Euclidean algorithm and prime factorization. 1. HCF of 12 and 18 2. List of methods 3. Solved examples 4. FAQAnswer: The HCF of 12 and 18 is 6. Read: what is the hcf of 12 and 18 Explanation: Read more: what is the square root of 100 | Top Q&A HCF of two non-zero integers 0, x (12) and y (18), which is the highest positive integer m (6) that divides both x (12) and y (18) without any part any residual. method to find HCF of 12 and 18.

  • The prime factorization method
  • Long division method
  • List common factors

HCF of 12 and 18 prime factors

HCF of 12 and 18 prime factorsThe primes of 12 and 18 are (2 × 2 × 3) and (2 × 3 × 3), respectively. As can be seen, 12 and 18 have common prime factors. Therefore, the HCF of 12 and 18 is 2 × 3 = 6.

HCF of 12 and 18 by Long Division

HCF of 12 and 18 by Long DivisionRead more: What’s going on around the HCF of 12 and 18 is the divisor we get when the remainder becomes 0 after doing long division over and over again.

  • Step 1: Divide 18 (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 (6).
  • Step 3: Repeat this process until remainder = 0.
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The corresponding divisor (6) is the HCF of 12 and 18.

HCF of 12 and 18 according to List of Common Factors

  • Factor 12: 1, 2, 3, 4, 6, 12
  • Factor 18: 1, 2, 3, 6, 9, 18

There are 4 common factors of 12 and 18, namely 1, 2, 3 and 6. Therefore, the highest common factor of 12 and 18 is 6.☛ Also check:Read more: what is the square root of 13 | Top Q&A

  • HCF of 60 and 72 = 12
  • HCF of 18 and 24 = 6
  • HCF of 4 and 8 = 4
  • HCF of 609 and 957 = 87
  • HCF of 145 and 232 = 29
  • HCF of 6 and 20 = 2
  • HCF of 144, 180 and 192 = 12

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