Highest Common Factor of 6793, 9658 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 6793, 9658 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6793, 9658 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 6793, 9658 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 6793, 9658 is 1.

HCF(6793, 9658) = 1

HCF of 6793, 9658 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 6793, 9658 is 1.

Highest Common Factor of 6793,9658 using Euclid's algorithm

Highest Common Factor of 6793,9658 is 1

Step 1: Since 9658 > 6793, we apply the division lemma to 9658 and 6793, to get

9658 = 6793 x 1 + 2865

Step 2: Since the reminder 6793 ≠ 0, we apply division lemma to 2865 and 6793, to get

6793 = 2865 x 2 + 1063

Step 3: We consider the new divisor 2865 and the new remainder 1063, and apply the division lemma to get

2865 = 1063 x 2 + 739

We consider the new divisor 1063 and the new remainder 739,and apply the division lemma to get

1063 = 739 x 1 + 324

We consider the new divisor 739 and the new remainder 324,and apply the division lemma to get

739 = 324 x 2 + 91

We consider the new divisor 324 and the new remainder 91,and apply the division lemma to get

324 = 91 x 3 + 51

We consider the new divisor 91 and the new remainder 51,and apply the division lemma to get

91 = 51 x 1 + 40

We consider the new divisor 51 and the new remainder 40,and apply the division lemma to get

51 = 40 x 1 + 11

We consider the new divisor 40 and the new remainder 11,and apply the division lemma to get

40 = 11 x 3 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 6793 and 9658 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(40,11) = HCF(51,40) = HCF(91,51) = HCF(324,91) = HCF(739,324) = HCF(1063,739) = HCF(2865,1063) = HCF(6793,2865) = HCF(9658,6793) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 6793, 9658 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 6793, 9658?

Answer: HCF of 6793, 9658 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6793, 9658 using Euclid's Algorithm?

Answer: For arbitrary numbers 6793, 9658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.