Highest Common Factor of 692, 9641 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 692, 9641 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 692, 9641 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 692, 9641 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 692, 9641 is 1.

HCF(692, 9641) = 1

HCF of 692, 9641 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 692, 9641 is 1.

Highest Common Factor of 692,9641 using Euclid's algorithm

Highest Common Factor of 692,9641 is 1

Step 1: Since 9641 > 692, we apply the division lemma to 9641 and 692, to get

9641 = 692 x 13 + 645

Step 2: Since the reminder 692 ≠ 0, we apply division lemma to 645 and 692, to get

692 = 645 x 1 + 47

Step 3: We consider the new divisor 645 and the new remainder 47, and apply the division lemma to get

645 = 47 x 13 + 34

We consider the new divisor 47 and the new remainder 34,and apply the division lemma to get

47 = 34 x 1 + 13

We consider the new divisor 34 and the new remainder 13,and apply the division lemma to get

34 = 13 x 2 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 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 692 and 9641 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(34,13) = HCF(47,34) = HCF(645,47) = HCF(692,645) = HCF(9641,692) .

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Frequently Asked Questions on HCF of 692, 9641 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 692, 9641?

Answer: HCF of 692, 9641 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 692, 9641 using Euclid's Algorithm?

Answer: For arbitrary numbers 692, 9641 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.