Highest Common Factor of 8791, 6322 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 8791, 6322 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8791, 6322 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 8791, 6322 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 8791, 6322 is 1.

HCF(8791, 6322) = 1

HCF of 8791, 6322 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 8791, 6322 is 1.

Highest Common Factor of 8791,6322 using Euclid's algorithm

Highest Common Factor of 8791,6322 is 1

Step 1: Since 8791 > 6322, we apply the division lemma to 8791 and 6322, to get

8791 = 6322 x 1 + 2469

Step 2: Since the reminder 6322 ≠ 0, we apply division lemma to 2469 and 6322, to get

6322 = 2469 x 2 + 1384

Step 3: We consider the new divisor 2469 and the new remainder 1384, and apply the division lemma to get

2469 = 1384 x 1 + 1085

We consider the new divisor 1384 and the new remainder 1085,and apply the division lemma to get

1384 = 1085 x 1 + 299

We consider the new divisor 1085 and the new remainder 299,and apply the division lemma to get

1085 = 299 x 3 + 188

We consider the new divisor 299 and the new remainder 188,and apply the division lemma to get

299 = 188 x 1 + 111

We consider the new divisor 188 and the new remainder 111,and apply the division lemma to get

188 = 111 x 1 + 77

We consider the new divisor 111 and the new remainder 77,and apply the division lemma to get

111 = 77 x 1 + 34

We consider the new divisor 77 and the new remainder 34,and apply the division lemma to get

77 = 34 x 2 + 9

We consider the new divisor 34 and the new remainder 9,and apply the division lemma to get

34 = 9 x 3 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 8791 and 6322 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(34,9) = HCF(77,34) = HCF(111,77) = HCF(188,111) = HCF(299,188) = HCF(1085,299) = HCF(1384,1085) = HCF(2469,1384) = HCF(6322,2469) = HCF(8791,6322) .

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Frequently Asked Questions on HCF of 8791, 6322 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 8791, 6322?

Answer: HCF of 8791, 6322 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8791, 6322 using Euclid's Algorithm?

Answer: For arbitrary numbers 8791, 6322 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.