Highest Common Factor of 9656, 5759 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 9656, 5759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9656, 5759 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 9656, 5759 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 9656, 5759 is 1.

HCF(9656, 5759) = 1

HCF of 9656, 5759 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 9656, 5759 is 1.

Highest Common Factor of 9656,5759 using Euclid's algorithm

Highest Common Factor of 9656,5759 is 1

Step 1: Since 9656 > 5759, we apply the division lemma to 9656 and 5759, to get

9656 = 5759 x 1 + 3897

Step 2: Since the reminder 5759 ≠ 0, we apply division lemma to 3897 and 5759, to get

5759 = 3897 x 1 + 1862

Step 3: We consider the new divisor 3897 and the new remainder 1862, and apply the division lemma to get

3897 = 1862 x 2 + 173

We consider the new divisor 1862 and the new remainder 173,and apply the division lemma to get

1862 = 173 x 10 + 132

We consider the new divisor 173 and the new remainder 132,and apply the division lemma to get

173 = 132 x 1 + 41

We consider the new divisor 132 and the new remainder 41,and apply the division lemma to get

132 = 41 x 3 + 9

We consider the new divisor 41 and the new remainder 9,and apply the division lemma to get

41 = 9 x 4 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9656 and 5759 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(41,9) = HCF(132,41) = HCF(173,132) = HCF(1862,173) = HCF(3897,1862) = HCF(5759,3897) = HCF(9656,5759) .

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Frequently Asked Questions on HCF of 9656, 5759 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 9656, 5759?

Answer: HCF of 9656, 5759 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9656, 5759 using Euclid's Algorithm?

Answer: For arbitrary numbers 9656, 5759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.