Highest Common Factor of 8157, 3491 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 8157, 3491 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8157, 3491 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 8157, 3491 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 8157, 3491 is 1.

HCF(8157, 3491) = 1

HCF of 8157, 3491 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 8157, 3491 is 1.

Highest Common Factor of 8157,3491 using Euclid's algorithm

Highest Common Factor of 8157,3491 is 1

Step 1: Since 8157 > 3491, we apply the division lemma to 8157 and 3491, to get

8157 = 3491 x 2 + 1175

Step 2: Since the reminder 3491 ≠ 0, we apply division lemma to 1175 and 3491, to get

3491 = 1175 x 2 + 1141

Step 3: We consider the new divisor 1175 and the new remainder 1141, and apply the division lemma to get

1175 = 1141 x 1 + 34

We consider the new divisor 1141 and the new remainder 34,and apply the division lemma to get

1141 = 34 x 33 + 19

We consider the new divisor 34 and the new remainder 19,and apply the division lemma to get

34 = 19 x 1 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 8157 and 3491 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(34,19) = HCF(1141,34) = HCF(1175,1141) = HCF(3491,1175) = HCF(8157,3491) .

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Frequently Asked Questions on HCF of 8157, 3491 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 8157, 3491?

Answer: HCF of 8157, 3491 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8157, 3491 using Euclid's Algorithm?

Answer: For arbitrary numbers 8157, 3491 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.