Highest Common Factor of 9725, 6793 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 9725, 6793 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9725, 6793 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 9725, 6793 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 9725, 6793 is 1.

HCF(9725, 6793) = 1

HCF of 9725, 6793 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 9725, 6793 is 1.

Highest Common Factor of 9725,6793 using Euclid's algorithm

Highest Common Factor of 9725,6793 is 1

Step 1: Since 9725 > 6793, we apply the division lemma to 9725 and 6793, to get

9725 = 6793 x 1 + 2932

Step 2: Since the reminder 6793 ≠ 0, we apply division lemma to 2932 and 6793, to get

6793 = 2932 x 2 + 929

Step 3: We consider the new divisor 2932 and the new remainder 929, and apply the division lemma to get

2932 = 929 x 3 + 145

We consider the new divisor 929 and the new remainder 145,and apply the division lemma to get

929 = 145 x 6 + 59

We consider the new divisor 145 and the new remainder 59,and apply the division lemma to get

145 = 59 x 2 + 27

We consider the new divisor 59 and the new remainder 27,and apply the division lemma to get

59 = 27 x 2 + 5

We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get

27 = 5 x 5 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 9725 and 6793 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(59,27) = HCF(145,59) = HCF(929,145) = HCF(2932,929) = HCF(6793,2932) = HCF(9725,6793) .

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Frequently Asked Questions on HCF of 9725, 6793 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 9725, 6793?

Answer: HCF of 9725, 6793 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9725, 6793 using Euclid's Algorithm?

Answer: For arbitrary numbers 9725, 6793 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.