Highest Common Factor of 7726, 4881 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 7726, 4881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7726, 4881 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 7726, 4881 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 7726, 4881 is 1.

HCF(7726, 4881) = 1

HCF of 7726, 4881 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 7726, 4881 is 1.

Highest Common Factor of 7726,4881 using Euclid's algorithm

Highest Common Factor of 7726,4881 is 1

Step 1: Since 7726 > 4881, we apply the division lemma to 7726 and 4881, to get

7726 = 4881 x 1 + 2845

Step 2: Since the reminder 4881 ≠ 0, we apply division lemma to 2845 and 4881, to get

4881 = 2845 x 1 + 2036

Step 3: We consider the new divisor 2845 and the new remainder 2036, and apply the division lemma to get

2845 = 2036 x 1 + 809

We consider the new divisor 2036 and the new remainder 809,and apply the division lemma to get

2036 = 809 x 2 + 418

We consider the new divisor 809 and the new remainder 418,and apply the division lemma to get

809 = 418 x 1 + 391

We consider the new divisor 418 and the new remainder 391,and apply the division lemma to get

418 = 391 x 1 + 27

We consider the new divisor 391 and the new remainder 27,and apply the division lemma to get

391 = 27 x 14 + 13

We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get

27 = 13 x 2 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7726 and 4881 is 1

Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(391,27) = HCF(418,391) = HCF(809,418) = HCF(2036,809) = HCF(2845,2036) = HCF(4881,2845) = HCF(7726,4881) .

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Frequently Asked Questions on HCF of 7726, 4881 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 7726, 4881?

Answer: HCF of 7726, 4881 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7726, 4881 using Euclid's Algorithm?

Answer: For arbitrary numbers 7726, 4881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.