Highest Common Factor of 7511, 4677 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 7511, 4677 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7511, 4677 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 7511, 4677 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 7511, 4677 is 1.

HCF(7511, 4677) = 1

HCF of 7511, 4677 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 7511, 4677 is 1.

Highest Common Factor of 7511,4677 using Euclid's algorithm

Highest Common Factor of 7511,4677 is 1

Step 1: Since 7511 > 4677, we apply the division lemma to 7511 and 4677, to get

7511 = 4677 x 1 + 2834

Step 2: Since the reminder 4677 ≠ 0, we apply division lemma to 2834 and 4677, to get

4677 = 2834 x 1 + 1843

Step 3: We consider the new divisor 2834 and the new remainder 1843, and apply the division lemma to get

2834 = 1843 x 1 + 991

We consider the new divisor 1843 and the new remainder 991,and apply the division lemma to get

1843 = 991 x 1 + 852

We consider the new divisor 991 and the new remainder 852,and apply the division lemma to get

991 = 852 x 1 + 139

We consider the new divisor 852 and the new remainder 139,and apply the division lemma to get

852 = 139 x 6 + 18

We consider the new divisor 139 and the new remainder 18,and apply the division lemma to get

139 = 18 x 7 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 7511 and 4677 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(139,18) = HCF(852,139) = HCF(991,852) = HCF(1843,991) = HCF(2834,1843) = HCF(4677,2834) = HCF(7511,4677) .

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Frequently Asked Questions on HCF of 7511, 4677 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 7511, 4677?

Answer: HCF of 7511, 4677 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7511, 4677 using Euclid's Algorithm?

Answer: For arbitrary numbers 7511, 4677 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.