Highest Common Factor of 5231, 8649 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 5231, 8649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5231, 8649 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 5231, 8649 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 5231, 8649 is 1.

HCF(5231, 8649) = 1

HCF of 5231, 8649 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 5231, 8649 is 1.

Highest Common Factor of 5231,8649 using Euclid's algorithm

Highest Common Factor of 5231,8649 is 1

Step 1: Since 8649 > 5231, we apply the division lemma to 8649 and 5231, to get

8649 = 5231 x 1 + 3418

Step 2: Since the reminder 5231 ≠ 0, we apply division lemma to 3418 and 5231, to get

5231 = 3418 x 1 + 1813

Step 3: We consider the new divisor 3418 and the new remainder 1813, and apply the division lemma to get

3418 = 1813 x 1 + 1605

We consider the new divisor 1813 and the new remainder 1605,and apply the division lemma to get

1813 = 1605 x 1 + 208

We consider the new divisor 1605 and the new remainder 208,and apply the division lemma to get

1605 = 208 x 7 + 149

We consider the new divisor 208 and the new remainder 149,and apply the division lemma to get

208 = 149 x 1 + 59

We consider the new divisor 149 and the new remainder 59,and apply the division lemma to get

149 = 59 x 2 + 31

We consider the new divisor 59 and the new remainder 31,and apply the division lemma to get

59 = 31 x 1 + 28

We consider the new divisor 31 and the new remainder 28,and apply the division lemma to get

31 = 28 x 1 + 3

We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get

28 = 3 x 9 + 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 5231 and 8649 is 1

Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(31,28) = HCF(59,31) = HCF(149,59) = HCF(208,149) = HCF(1605,208) = HCF(1813,1605) = HCF(3418,1813) = HCF(5231,3418) = HCF(8649,5231) .

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Frequently Asked Questions on HCF of 5231, 8649 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 5231, 8649?

Answer: HCF of 5231, 8649 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5231, 8649 using Euclid's Algorithm?

Answer: For arbitrary numbers 5231, 8649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.