Highest Common Factor of 617, 951 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 617, 951 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 617, 951 is 1 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 617, 951 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 617, 951 is 1.

HCF(617, 951) = 1

HCF of 617, 951 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 617, 951 is 1.

Highest Common Factor of 617,951 using Euclid's algorithm

Highest Common Factor of 617,951 is 1

Step 1: Since 951 > 617, we apply the division lemma to 951 and 617, to get

951 = 617 x 1 + 334

Step 2: Since the reminder 617 ≠ 0, we apply division lemma to 334 and 617, to get

617 = 334 x 1 + 283

Step 3: We consider the new divisor 334 and the new remainder 283, and apply the division lemma to get

334 = 283 x 1 + 51

We consider the new divisor 283 and the new remainder 51,and apply the division lemma to get

283 = 51 x 5 + 28

We consider the new divisor 51 and the new remainder 28,and apply the division lemma to get

51 = 28 x 1 + 23

We consider the new divisor 28 and the new remainder 23,and apply the division lemma to get

28 = 23 x 1 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 617 and 951 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(28,23) = HCF(51,28) = HCF(283,51) = HCF(334,283) = HCF(617,334) = HCF(951,617) .

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Frequently Asked Questions on HCF of 617, 951 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 617, 951?

Answer: HCF of 617, 951 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 617, 951 using Euclid's Algorithm?

Answer: For arbitrary numbers 617, 951 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.