Highest Common Factor of 9645, 3719 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 9645, 3719 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9645, 3719 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 9645, 3719 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 9645, 3719 is 1.

HCF(9645, 3719) = 1

HCF of 9645, 3719 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 9645, 3719 is 1.

Highest Common Factor of 9645,3719 using Euclid's algorithm

Highest Common Factor of 9645,3719 is 1

Step 1: Since 9645 > 3719, we apply the division lemma to 9645 and 3719, to get

9645 = 3719 x 2 + 2207

Step 2: Since the reminder 3719 ≠ 0, we apply division lemma to 2207 and 3719, to get

3719 = 2207 x 1 + 1512

Step 3: We consider the new divisor 2207 and the new remainder 1512, and apply the division lemma to get

2207 = 1512 x 1 + 695

We consider the new divisor 1512 and the new remainder 695,and apply the division lemma to get

1512 = 695 x 2 + 122

We consider the new divisor 695 and the new remainder 122,and apply the division lemma to get

695 = 122 x 5 + 85

We consider the new divisor 122 and the new remainder 85,and apply the division lemma to get

122 = 85 x 1 + 37

We consider the new divisor 85 and the new remainder 37,and apply the division lemma to get

85 = 37 x 2 + 11

We consider the new divisor 37 and the new remainder 11,and apply the division lemma to get

37 = 11 x 3 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 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 9645 and 3719 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(85,37) = HCF(122,85) = HCF(695,122) = HCF(1512,695) = HCF(2207,1512) = HCF(3719,2207) = HCF(9645,3719) .

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Frequently Asked Questions on HCF of 9645, 3719 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 9645, 3719?

Answer: HCF of 9645, 3719 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9645, 3719 using Euclid's Algorithm?

Answer: For arbitrary numbers 9645, 3719 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.