Highest Common Factor of 4786, 7527 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 4786, 7527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4786, 7527 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 4786, 7527 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 4786, 7527 is 1.

HCF(4786, 7527) = 1

HCF of 4786, 7527 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 4786, 7527 is 1.

Highest Common Factor of 4786,7527 using Euclid's algorithm

Highest Common Factor of 4786,7527 is 1

Step 1: Since 7527 > 4786, we apply the division lemma to 7527 and 4786, to get

7527 = 4786 x 1 + 2741

Step 2: Since the reminder 4786 ≠ 0, we apply division lemma to 2741 and 4786, to get

4786 = 2741 x 1 + 2045

Step 3: We consider the new divisor 2741 and the new remainder 2045, and apply the division lemma to get

2741 = 2045 x 1 + 696

We consider the new divisor 2045 and the new remainder 696,and apply the division lemma to get

2045 = 696 x 2 + 653

We consider the new divisor 696 and the new remainder 653,and apply the division lemma to get

696 = 653 x 1 + 43

We consider the new divisor 653 and the new remainder 43,and apply the division lemma to get

653 = 43 x 15 + 8

We consider the new divisor 43 and the new remainder 8,and apply the division lemma to get

43 = 8 x 5 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 4786 and 7527 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(43,8) = HCF(653,43) = HCF(696,653) = HCF(2045,696) = HCF(2741,2045) = HCF(4786,2741) = HCF(7527,4786) .

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Frequently Asked Questions on HCF of 4786, 7527 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 4786, 7527?

Answer: HCF of 4786, 7527 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4786, 7527 using Euclid's Algorithm?

Answer: For arbitrary numbers 4786, 7527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.