Highest Common Factor of 9317, 4912 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 9317, 4912 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9317, 4912 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 9317, 4912 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 9317, 4912 is 1.

HCF(9317, 4912) = 1

HCF of 9317, 4912 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 9317, 4912 is 1.

Highest Common Factor of 9317,4912 using Euclid's algorithm

Highest Common Factor of 9317,4912 is 1

Step 1: Since 9317 > 4912, we apply the division lemma to 9317 and 4912, to get

9317 = 4912 x 1 + 4405

Step 2: Since the reminder 4912 ≠ 0, we apply division lemma to 4405 and 4912, to get

4912 = 4405 x 1 + 507

Step 3: We consider the new divisor 4405 and the new remainder 507, and apply the division lemma to get

4405 = 507 x 8 + 349

We consider the new divisor 507 and the new remainder 349,and apply the division lemma to get

507 = 349 x 1 + 158

We consider the new divisor 349 and the new remainder 158,and apply the division lemma to get

349 = 158 x 2 + 33

We consider the new divisor 158 and the new remainder 33,and apply the division lemma to get

158 = 33 x 4 + 26

We consider the new divisor 33 and the new remainder 26,and apply the division lemma to get

33 = 26 x 1 + 7

We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get

26 = 7 x 3 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 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 9317 and 4912 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(33,26) = HCF(158,33) = HCF(349,158) = HCF(507,349) = HCF(4405,507) = HCF(4912,4405) = HCF(9317,4912) .

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Frequently Asked Questions on HCF of 9317, 4912 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 9317, 4912?

Answer: HCF of 9317, 4912 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9317, 4912 using Euclid's Algorithm?

Answer: For arbitrary numbers 9317, 4912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.