Highest Common Factor of 3151, 7647 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 3151, 7647 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3151, 7647 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 3151, 7647 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 3151, 7647 is 1.

HCF(3151, 7647) = 1

HCF of 3151, 7647 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 3151, 7647 is 1.

Highest Common Factor of 3151,7647 using Euclid's algorithm

Highest Common Factor of 3151,7647 is 1

Step 1: Since 7647 > 3151, we apply the division lemma to 7647 and 3151, to get

7647 = 3151 x 2 + 1345

Step 2: Since the reminder 3151 ≠ 0, we apply division lemma to 1345 and 3151, to get

3151 = 1345 x 2 + 461

Step 3: We consider the new divisor 1345 and the new remainder 461, and apply the division lemma to get

1345 = 461 x 2 + 423

We consider the new divisor 461 and the new remainder 423,and apply the division lemma to get

461 = 423 x 1 + 38

We consider the new divisor 423 and the new remainder 38,and apply the division lemma to get

423 = 38 x 11 + 5

We consider the new divisor 38 and the new remainder 5,and apply the division lemma to get

38 = 5 x 7 + 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 3151 and 7647 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(38,5) = HCF(423,38) = HCF(461,423) = HCF(1345,461) = HCF(3151,1345) = HCF(7647,3151) .

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Frequently Asked Questions on HCF of 3151, 7647 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 3151, 7647?

Answer: HCF of 3151, 7647 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3151, 7647 using Euclid's Algorithm?

Answer: For arbitrary numbers 3151, 7647 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.