Highest Common Factor of 9256, 6345 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 9256, 6345 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9256, 6345 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 9256, 6345 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 9256, 6345 is 1.

HCF(9256, 6345) = 1

HCF of 9256, 6345 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 9256, 6345 is 1.

Highest Common Factor of 9256,6345 using Euclid's algorithm

Highest Common Factor of 9256,6345 is 1

Step 1: Since 9256 > 6345, we apply the division lemma to 9256 and 6345, to get

9256 = 6345 x 1 + 2911

Step 2: Since the reminder 6345 ≠ 0, we apply division lemma to 2911 and 6345, to get

6345 = 2911 x 2 + 523

Step 3: We consider the new divisor 2911 and the new remainder 523, and apply the division lemma to get

2911 = 523 x 5 + 296

We consider the new divisor 523 and the new remainder 296,and apply the division lemma to get

523 = 296 x 1 + 227

We consider the new divisor 296 and the new remainder 227,and apply the division lemma to get

296 = 227 x 1 + 69

We consider the new divisor 227 and the new remainder 69,and apply the division lemma to get

227 = 69 x 3 + 20

We consider the new divisor 69 and the new remainder 20,and apply the division lemma to get

69 = 20 x 3 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 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 9256 and 6345 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(69,20) = HCF(227,69) = HCF(296,227) = HCF(523,296) = HCF(2911,523) = HCF(6345,2911) = HCF(9256,6345) .

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Frequently Asked Questions on HCF of 9256, 6345 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 9256, 6345?

Answer: HCF of 9256, 6345 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9256, 6345 using Euclid's Algorithm?

Answer: For arbitrary numbers 9256, 6345 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.