Highest Common Factor of 2491, 9426 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 2491, 9426 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2491, 9426 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 2491, 9426 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 2491, 9426 is 1.

HCF(2491, 9426) = 1

HCF of 2491, 9426 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 2491, 9426 is 1.

Highest Common Factor of 2491,9426 using Euclid's algorithm

Highest Common Factor of 2491,9426 is 1

Step 1: Since 9426 > 2491, we apply the division lemma to 9426 and 2491, to get

9426 = 2491 x 3 + 1953

Step 2: Since the reminder 2491 ≠ 0, we apply division lemma to 1953 and 2491, to get

2491 = 1953 x 1 + 538

Step 3: We consider the new divisor 1953 and the new remainder 538, and apply the division lemma to get

1953 = 538 x 3 + 339

We consider the new divisor 538 and the new remainder 339,and apply the division lemma to get

538 = 339 x 1 + 199

We consider the new divisor 339 and the new remainder 199,and apply the division lemma to get

339 = 199 x 1 + 140

We consider the new divisor 199 and the new remainder 140,and apply the division lemma to get

199 = 140 x 1 + 59

We consider the new divisor 140 and the new remainder 59,and apply the division lemma to get

140 = 59 x 2 + 22

We consider the new divisor 59 and the new remainder 22,and apply the division lemma to get

59 = 22 x 2 + 15

We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get

22 = 15 x 1 + 7

We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get

15 = 7 x 2 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2491 and 9426 is 1

Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(59,22) = HCF(140,59) = HCF(199,140) = HCF(339,199) = HCF(538,339) = HCF(1953,538) = HCF(2491,1953) = HCF(9426,2491) .

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Frequently Asked Questions on HCF of 2491, 9426 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 2491, 9426?

Answer: HCF of 2491, 9426 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2491, 9426 using Euclid's Algorithm?

Answer: For arbitrary numbers 2491, 9426 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.