Highest Common Factor of 4612, 8851 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 4612, 8851 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4612, 8851 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 4612, 8851 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 4612, 8851 is 1.

HCF(4612, 8851) = 1

HCF of 4612, 8851 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 4612, 8851 is 1.

Highest Common Factor of 4612,8851 using Euclid's algorithm

Highest Common Factor of 4612,8851 is 1

Step 1: Since 8851 > 4612, we apply the division lemma to 8851 and 4612, to get

8851 = 4612 x 1 + 4239

Step 2: Since the reminder 4612 ≠ 0, we apply division lemma to 4239 and 4612, to get

4612 = 4239 x 1 + 373

Step 3: We consider the new divisor 4239 and the new remainder 373, and apply the division lemma to get

4239 = 373 x 11 + 136

We consider the new divisor 373 and the new remainder 136,and apply the division lemma to get

373 = 136 x 2 + 101

We consider the new divisor 136 and the new remainder 101,and apply the division lemma to get

136 = 101 x 1 + 35

We consider the new divisor 101 and the new remainder 35,and apply the division lemma to get

101 = 35 x 2 + 31

We consider the new divisor 35 and the new remainder 31,and apply the division lemma to get

35 = 31 x 1 + 4

We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get

31 = 4 x 7 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4612 and 8851 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(35,31) = HCF(101,35) = HCF(136,101) = HCF(373,136) = HCF(4239,373) = HCF(4612,4239) = HCF(8851,4612) .

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Frequently Asked Questions on HCF of 4612, 8851 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 4612, 8851?

Answer: HCF of 4612, 8851 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4612, 8851 using Euclid's Algorithm?

Answer: For arbitrary numbers 4612, 8851 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.