Highest Common Factor of 6791, 8862 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 6791, 8862 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6791, 8862 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 6791, 8862 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 6791, 8862 is 1.

HCF(6791, 8862) = 1

HCF of 6791, 8862 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 6791, 8862 is 1.

Highest Common Factor of 6791,8862 using Euclid's algorithm

Highest Common Factor of 6791,8862 is 1

Step 1: Since 8862 > 6791, we apply the division lemma to 8862 and 6791, to get

8862 = 6791 x 1 + 2071

Step 2: Since the reminder 6791 ≠ 0, we apply division lemma to 2071 and 6791, to get

6791 = 2071 x 3 + 578

Step 3: We consider the new divisor 2071 and the new remainder 578, and apply the division lemma to get

2071 = 578 x 3 + 337

We consider the new divisor 578 and the new remainder 337,and apply the division lemma to get

578 = 337 x 1 + 241

We consider the new divisor 337 and the new remainder 241,and apply the division lemma to get

337 = 241 x 1 + 96

We consider the new divisor 241 and the new remainder 96,and apply the division lemma to get

241 = 96 x 2 + 49

We consider the new divisor 96 and the new remainder 49,and apply the division lemma to get

96 = 49 x 1 + 47

We consider the new divisor 49 and the new remainder 47,and apply the division lemma to get

49 = 47 x 1 + 2

We consider the new divisor 47 and the new remainder 2,and apply the division lemma to get

47 = 2 x 23 + 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 6791 and 8862 is 1

Notice that 1 = HCF(2,1) = HCF(47,2) = HCF(49,47) = HCF(96,49) = HCF(241,96) = HCF(337,241) = HCF(578,337) = HCF(2071,578) = HCF(6791,2071) = HCF(8862,6791) .

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Frequently Asked Questions on HCF of 6791, 8862 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 6791, 8862?

Answer: HCF of 6791, 8862 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6791, 8862 using Euclid's Algorithm?

Answer: For arbitrary numbers 6791, 8862 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.