Highest Common Factor of 8291, 8695 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 8291, 8695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8291, 8695 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 8291, 8695 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 8291, 8695 is 1.

HCF(8291, 8695) = 1

HCF of 8291, 8695 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 8291, 8695 is 1.

Highest Common Factor of 8291,8695 using Euclid's algorithm

Highest Common Factor of 8291,8695 is 1

Step 1: Since 8695 > 8291, we apply the division lemma to 8695 and 8291, to get

8695 = 8291 x 1 + 404

Step 2: Since the reminder 8291 ≠ 0, we apply division lemma to 404 and 8291, to get

8291 = 404 x 20 + 211

Step 3: We consider the new divisor 404 and the new remainder 211, and apply the division lemma to get

404 = 211 x 1 + 193

We consider the new divisor 211 and the new remainder 193,and apply the division lemma to get

211 = 193 x 1 + 18

We consider the new divisor 193 and the new remainder 18,and apply the division lemma to get

193 = 18 x 10 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 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 8291 and 8695 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(193,18) = HCF(211,193) = HCF(404,211) = HCF(8291,404) = HCF(8695,8291) .

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Frequently Asked Questions on HCF of 8291, 8695 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 8291, 8695?

Answer: HCF of 8291, 8695 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8291, 8695 using Euclid's Algorithm?

Answer: For arbitrary numbers 8291, 8695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.