Highest Common Factor of 477, 636 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 477, 636 i.e. 159 the largest integer that leaves a remainder zero for all numbers.

HCF of 477, 636 is 159 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 477, 636 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 477, 636 is 159.

HCF(477, 636) = 159

HCF of 477, 636 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 477, 636 is 159.

Highest Common Factor of 477,636 using Euclid's algorithm

Highest Common Factor of 477,636 is 159

Step 1: Since 636 > 477, we apply the division lemma to 636 and 477, to get

636 = 477 x 1 + 159

Step 2: Since the reminder 477 ≠ 0, we apply division lemma to 159 and 477, to get

477 = 159 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 159, the HCF of 477 and 636 is 159

Notice that 159 = HCF(477,159) = HCF(636,477) .

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Frequently Asked Questions on HCF of 477, 636 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 477, 636?

Answer: HCF of 477, 636 is 159 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 477, 636 using Euclid's Algorithm?

Answer: For arbitrary numbers 477, 636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.