Highest Common Factor of 9683, 657 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 9683, 657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9683, 657 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 9683, 657 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 9683, 657 is 1.

HCF(9683, 657) = 1

HCF of 9683, 657 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 9683, 657 is 1.

Highest Common Factor of 9683,657 using Euclid's algorithm

Highest Common Factor of 9683,657 is 1

Step 1: Since 9683 > 657, we apply the division lemma to 9683 and 657, to get

9683 = 657 x 14 + 485

Step 2: Since the reminder 657 ≠ 0, we apply division lemma to 485 and 657, to get

657 = 485 x 1 + 172

Step 3: We consider the new divisor 485 and the new remainder 172, and apply the division lemma to get

485 = 172 x 2 + 141

We consider the new divisor 172 and the new remainder 141,and apply the division lemma to get

172 = 141 x 1 + 31

We consider the new divisor 141 and the new remainder 31,and apply the division lemma to get

141 = 31 x 4 + 17

We consider the new divisor 31 and the new remainder 17,and apply the division lemma to get

31 = 17 x 1 + 14

We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get

17 = 14 x 1 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 9683 and 657 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(31,17) = HCF(141,31) = HCF(172,141) = HCF(485,172) = HCF(657,485) = HCF(9683,657) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 9683, 657 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 9683, 657?

Answer: HCF of 9683, 657 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9683, 657 using Euclid's Algorithm?

Answer: For arbitrary numbers 9683, 657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.