Highest Common Factor of 6928, 9297 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 6928, 9297 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6928, 9297 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 6928, 9297 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 6928, 9297 is 1.

HCF(6928, 9297) = 1

HCF of 6928, 9297 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 6928, 9297 is 1.

Highest Common Factor of 6928,9297 using Euclid's algorithm

Highest Common Factor of 6928,9297 is 1

Step 1: Since 9297 > 6928, we apply the division lemma to 9297 and 6928, to get

9297 = 6928 x 1 + 2369

Step 2: Since the reminder 6928 ≠ 0, we apply division lemma to 2369 and 6928, to get

6928 = 2369 x 2 + 2190

Step 3: We consider the new divisor 2369 and the new remainder 2190, and apply the division lemma to get

2369 = 2190 x 1 + 179

We consider the new divisor 2190 and the new remainder 179,and apply the division lemma to get

2190 = 179 x 12 + 42

We consider the new divisor 179 and the new remainder 42,and apply the division lemma to get

179 = 42 x 4 + 11

We consider the new divisor 42 and the new remainder 11,and apply the division lemma to get

42 = 11 x 3 + 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 6928 and 9297 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(42,11) = HCF(179,42) = HCF(2190,179) = HCF(2369,2190) = HCF(6928,2369) = HCF(9297,6928) .

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Frequently Asked Questions on HCF of 6928, 9297 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 6928, 9297?

Answer: HCF of 6928, 9297 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6928, 9297 using Euclid's Algorithm?

Answer: For arbitrary numbers 6928, 9297 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.