Highest Common Factor of 4458, 6157 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 4458, 6157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4458, 6157 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 4458, 6157 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 4458, 6157 is 1.

HCF(4458, 6157) = 1

HCF of 4458, 6157 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 4458, 6157 is 1.

Highest Common Factor of 4458,6157 using Euclid's algorithm

Highest Common Factor of 4458,6157 is 1

Step 1: Since 6157 > 4458, we apply the division lemma to 6157 and 4458, to get

6157 = 4458 x 1 + 1699

Step 2: Since the reminder 4458 ≠ 0, we apply division lemma to 1699 and 4458, to get

4458 = 1699 x 2 + 1060

Step 3: We consider the new divisor 1699 and the new remainder 1060, and apply the division lemma to get

1699 = 1060 x 1 + 639

We consider the new divisor 1060 and the new remainder 639,and apply the division lemma to get

1060 = 639 x 1 + 421

We consider the new divisor 639 and the new remainder 421,and apply the division lemma to get

639 = 421 x 1 + 218

We consider the new divisor 421 and the new remainder 218,and apply the division lemma to get

421 = 218 x 1 + 203

We consider the new divisor 218 and the new remainder 203,and apply the division lemma to get

218 = 203 x 1 + 15

We consider the new divisor 203 and the new remainder 15,and apply the division lemma to get

203 = 15 x 13 + 8

We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get

15 = 8 x 1 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 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 4458 and 6157 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(203,15) = HCF(218,203) = HCF(421,218) = HCF(639,421) = HCF(1060,639) = HCF(1699,1060) = HCF(4458,1699) = HCF(6157,4458) .

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Frequently Asked Questions on HCF of 4458, 6157 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 4458, 6157?

Answer: HCF of 4458, 6157 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4458, 6157 using Euclid's Algorithm?

Answer: For arbitrary numbers 4458, 6157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.