Highest Common Factor of 8776, 3157 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 8776, 3157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8776, 3157 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 8776, 3157 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 8776, 3157 is 1.

HCF(8776, 3157) = 1

HCF of 8776, 3157 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 8776, 3157 is 1.

Highest Common Factor of 8776,3157 using Euclid's algorithm

Highest Common Factor of 8776,3157 is 1

Step 1: Since 8776 > 3157, we apply the division lemma to 8776 and 3157, to get

8776 = 3157 x 2 + 2462

Step 2: Since the reminder 3157 ≠ 0, we apply division lemma to 2462 and 3157, to get

3157 = 2462 x 1 + 695

Step 3: We consider the new divisor 2462 and the new remainder 695, and apply the division lemma to get

2462 = 695 x 3 + 377

We consider the new divisor 695 and the new remainder 377,and apply the division lemma to get

695 = 377 x 1 + 318

We consider the new divisor 377 and the new remainder 318,and apply the division lemma to get

377 = 318 x 1 + 59

We consider the new divisor 318 and the new remainder 59,and apply the division lemma to get

318 = 59 x 5 + 23

We consider the new divisor 59 and the new remainder 23,and apply the division lemma to get

59 = 23 x 2 + 13

We consider the new divisor 23 and the new remainder 13,and apply the division lemma to get

23 = 13 x 1 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8776 and 3157 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(59,23) = HCF(318,59) = HCF(377,318) = HCF(695,377) = HCF(2462,695) = HCF(3157,2462) = HCF(8776,3157) .

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Frequently Asked Questions on HCF of 8776, 3157 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 8776, 3157?

Answer: HCF of 8776, 3157 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8776, 3157 using Euclid's Algorithm?

Answer: For arbitrary numbers 8776, 3157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.