Highest Common Factor of 564, 6251 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 564, 6251 i.e. 47 the largest integer that leaves a remainder zero for all numbers.

HCF of 564, 6251 is 47 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 564, 6251 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 564, 6251 is 47.

HCF(564, 6251) = 47

HCF of 564, 6251 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 564, 6251 is 47.

Highest Common Factor of 564,6251 using Euclid's algorithm

Highest Common Factor of 564,6251 is 47

Step 1: Since 6251 > 564, we apply the division lemma to 6251 and 564, to get

6251 = 564 x 11 + 47

Step 2: Since the reminder 564 ≠ 0, we apply division lemma to 47 and 564, to get

564 = 47 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 47, the HCF of 564 and 6251 is 47

Notice that 47 = HCF(564,47) = HCF(6251,564) .

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Frequently Asked Questions on HCF of 564, 6251 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 564, 6251?

Answer: HCF of 564, 6251 is 47 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 564, 6251 using Euclid's Algorithm?

Answer: For arbitrary numbers 564, 6251 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.