Highest Common Factor of 5665, 9638 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 5665, 9638 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5665, 9638 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 5665, 9638 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 5665, 9638 is 1.

HCF(5665, 9638) = 1

HCF of 5665, 9638 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 5665, 9638 is 1.

Highest Common Factor of 5665,9638 using Euclid's algorithm

Highest Common Factor of 5665,9638 is 1

Step 1: Since 9638 > 5665, we apply the division lemma to 9638 and 5665, to get

9638 = 5665 x 1 + 3973

Step 2: Since the reminder 5665 ≠ 0, we apply division lemma to 3973 and 5665, to get

5665 = 3973 x 1 + 1692

Step 3: We consider the new divisor 3973 and the new remainder 1692, and apply the division lemma to get

3973 = 1692 x 2 + 589

We consider the new divisor 1692 and the new remainder 589,and apply the division lemma to get

1692 = 589 x 2 + 514

We consider the new divisor 589 and the new remainder 514,and apply the division lemma to get

589 = 514 x 1 + 75

We consider the new divisor 514 and the new remainder 75,and apply the division lemma to get

514 = 75 x 6 + 64

We consider the new divisor 75 and the new remainder 64,and apply the division lemma to get

75 = 64 x 1 + 11

We consider the new divisor 64 and the new remainder 11,and apply the division lemma to get

64 = 11 x 5 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 5665 and 9638 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(64,11) = HCF(75,64) = HCF(514,75) = HCF(589,514) = HCF(1692,589) = HCF(3973,1692) = HCF(5665,3973) = HCF(9638,5665) .

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Frequently Asked Questions on HCF of 5665, 9638 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 5665, 9638?

Answer: HCF of 5665, 9638 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5665, 9638 using Euclid's Algorithm?

Answer: For arbitrary numbers 5665, 9638 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.