Highest Common Factor of 4655, 8157 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 4655, 8157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4655, 8157 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 4655, 8157 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 4655, 8157 is 1.

HCF(4655, 8157) = 1

HCF of 4655, 8157 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 4655, 8157 is 1.

Highest Common Factor of 4655,8157 using Euclid's algorithm

Highest Common Factor of 4655,8157 is 1

Step 1: Since 8157 > 4655, we apply the division lemma to 8157 and 4655, to get

8157 = 4655 x 1 + 3502

Step 2: Since the reminder 4655 ≠ 0, we apply division lemma to 3502 and 4655, to get

4655 = 3502 x 1 + 1153

Step 3: We consider the new divisor 3502 and the new remainder 1153, and apply the division lemma to get

3502 = 1153 x 3 + 43

We consider the new divisor 1153 and the new remainder 43,and apply the division lemma to get

1153 = 43 x 26 + 35

We consider the new divisor 43 and the new remainder 35,and apply the division lemma to get

43 = 35 x 1 + 8

We consider the new divisor 35 and the new remainder 8,and apply the division lemma to get

35 = 8 x 4 + 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 4655 and 8157 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(35,8) = HCF(43,35) = HCF(1153,43) = HCF(3502,1153) = HCF(4655,3502) = HCF(8157,4655) .

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Frequently Asked Questions on HCF of 4655, 8157 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 4655, 8157?

Answer: HCF of 4655, 8157 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4655, 8157 using Euclid's Algorithm?

Answer: For arbitrary numbers 4655, 8157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.