Highest Common Factor of 946, 132 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 946, 132 i.e. 22 the largest integer that leaves a remainder zero for all numbers.

HCF of 946, 132 is 22 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 946, 132 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 946, 132 is 22.

HCF(946, 132) = 22

HCF of 946, 132 using Euclid's algorithm

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

HCF of:

Highest common factor (HCF) of 946, 132 is 22.

Highest Common Factor of 946,132 using Euclid's algorithm

Highest Common Factor of 946,132 is 22

Step 1: Since 946 > 132, we apply the division lemma to 946 and 132, to get

946 = 132 x 7 + 22

Step 2: Since the reminder 132 ≠ 0, we apply division lemma to 22 and 132, to get

132 = 22 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 946 and 132 is 22

Notice that 22 = HCF(132,22) = HCF(946,132) .

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Frequently Asked Questions on HCF of 946, 132 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 946, 132?

Answer: HCF of 946, 132 is 22 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 946, 132 using Euclid's Algorithm?

Answer: For arbitrary numbers 946, 132 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.