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Highest Common Factor of 60, 96 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 60, 96 i.e. 12 the largest integer that leaves a remainder zero for all numbers.

HCF of 60, 96 is 12 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 60, 96 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 60, 96 is 12.

HCF(60, 96) = 12

HCF of 60, 96 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 60, 96 is 12.

Highest Common Factor of 60,96 using Euclid's algorithm

Step 1: Since 96 > 60, we apply the division lemma to 96 and 60, to get

96 = 60 x 1 + 36

Step 2: Since the reminder 60 ≠ 0, we apply division lemma to 36 and 60, to get

60 = 36 x 1 + 24

Step 3: We consider the new divisor 36 and the new remainder 24, and apply the division lemma to get

36 = 24 x 1 + 12

We consider the new divisor 24 and the new remainder 12, and apply the division lemma to get

24 = 12 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 60 and 96 is 12

Notice that 12 = HCF(24,12) = HCF(36,24) = HCF(60,36) = HCF(96,60) .

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Frequently Asked Questions on HCF of 60, 96 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 60, 96?

Answer: HCF of 60, 96 is 12 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 60, 96 using Euclid's Algorithm?

Answer: For arbitrary numbers 60, 96 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.