Highest Common Factor of 8157, 3566 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, 3566 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8157, 3566 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, 3566 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, 3566 is 1.

HCF(8157, 3566) = 1

HCF of 8157, 3566 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 8157, 3566 is 1.

Highest Common Factor of 8157,3566 using Euclid's algorithm

Highest Common Factor of 8157,3566 is 1

Step 1: Since 8157 > 3566, we apply the division lemma to 8157 and 3566, to get

8157 = 3566 x 2 + 1025

Step 2: Since the reminder 3566 ≠ 0, we apply division lemma to 1025 and 3566, to get

3566 = 1025 x 3 + 491

Step 3: We consider the new divisor 1025 and the new remainder 491, and apply the division lemma to get

1025 = 491 x 2 + 43

We consider the new divisor 491 and the new remainder 43,and apply the division lemma to get

491 = 43 x 11 + 18

We consider the new divisor 43 and the new remainder 18,and apply the division lemma to get

43 = 18 x 2 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 3566 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(43,18) = HCF(491,43) = HCF(1025,491) = HCF(3566,1025) = HCF(8157,3566) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 8157, 3566 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, 3566?

Answer: HCF of 8157, 3566 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8157, 3566 using Euclid's Algorithm?

Answer: For arbitrary numbers 8157, 3566 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.