Highest Common Factor of 861, 24631 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 861, 24631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 861, 24631 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 861, 24631 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 861, 24631 is 1.

HCF(861, 24631) = 1

HCF of 861, 24631 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 861, 24631 is 1.

Highest Common Factor of 861,24631 using Euclid's algorithm

Highest Common Factor of 861,24631 is 1

Step 1: Since 24631 > 861, we apply the division lemma to 24631 and 861, to get

24631 = 861 x 28 + 523

Step 2: Since the reminder 861 ≠ 0, we apply division lemma to 523 and 861, to get

861 = 523 x 1 + 338

Step 3: We consider the new divisor 523 and the new remainder 338, and apply the division lemma to get

523 = 338 x 1 + 185

We consider the new divisor 338 and the new remainder 185,and apply the division lemma to get

338 = 185 x 1 + 153

We consider the new divisor 185 and the new remainder 153,and apply the division lemma to get

185 = 153 x 1 + 32

We consider the new divisor 153 and the new remainder 32,and apply the division lemma to get

153 = 32 x 4 + 25

We consider the new divisor 32 and the new remainder 25,and apply the division lemma to get

32 = 25 x 1 + 7

We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get

25 = 7 x 3 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 861 and 24631 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(32,25) = HCF(153,32) = HCF(185,153) = HCF(338,185) = HCF(523,338) = HCF(861,523) = HCF(24631,861) .

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Frequently Asked Questions on HCF of 861, 24631 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 861, 24631?

Answer: HCF of 861, 24631 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 861, 24631 using Euclid's Algorithm?

Answer: For arbitrary numbers 861, 24631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.