Highest Common Factor of 4925, 7477 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 4925, 7477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4925, 7477 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 4925, 7477 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 4925, 7477 is 1.

HCF(4925, 7477) = 1

HCF of 4925, 7477 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 4925, 7477 is 1.

Highest Common Factor of 4925,7477 using Euclid's algorithm

Highest Common Factor of 4925,7477 is 1

Step 1: Since 7477 > 4925, we apply the division lemma to 7477 and 4925, to get

7477 = 4925 x 1 + 2552

Step 2: Since the reminder 4925 ≠ 0, we apply division lemma to 2552 and 4925, to get

4925 = 2552 x 1 + 2373

Step 3: We consider the new divisor 2552 and the new remainder 2373, and apply the division lemma to get

2552 = 2373 x 1 + 179

We consider the new divisor 2373 and the new remainder 179,and apply the division lemma to get

2373 = 179 x 13 + 46

We consider the new divisor 179 and the new remainder 46,and apply the division lemma to get

179 = 46 x 3 + 41

We consider the new divisor 46 and the new remainder 41,and apply the division lemma to get

46 = 41 x 1 + 5

We consider the new divisor 41 and the new remainder 5,and apply the division lemma to get

41 = 5 x 8 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4925 and 7477 is 1

Notice that 1 = HCF(5,1) = HCF(41,5) = HCF(46,41) = HCF(179,46) = HCF(2373,179) = HCF(2552,2373) = HCF(4925,2552) = HCF(7477,4925) .

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Frequently Asked Questions on HCF of 4925, 7477 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 4925, 7477?

Answer: HCF of 4925, 7477 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4925, 7477 using Euclid's Algorithm?

Answer: For arbitrary numbers 4925, 7477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.