Highest Common Factor of 5061, 8915 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 5061, 8915 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5061, 8915 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 5061, 8915 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 5061, 8915 is 1.

HCF(5061, 8915) = 1

HCF of 5061, 8915 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 5061, 8915 is 1.

Highest Common Factor of 5061,8915 using Euclid's algorithm

Highest Common Factor of 5061,8915 is 1

Step 1: Since 8915 > 5061, we apply the division lemma to 8915 and 5061, to get

8915 = 5061 x 1 + 3854

Step 2: Since the reminder 5061 ≠ 0, we apply division lemma to 3854 and 5061, to get

5061 = 3854 x 1 + 1207

Step 3: We consider the new divisor 3854 and the new remainder 1207, and apply the division lemma to get

3854 = 1207 x 3 + 233

We consider the new divisor 1207 and the new remainder 233,and apply the division lemma to get

1207 = 233 x 5 + 42

We consider the new divisor 233 and the new remainder 42,and apply the division lemma to get

233 = 42 x 5 + 23

We consider the new divisor 42 and the new remainder 23,and apply the division lemma to get

42 = 23 x 1 + 19

We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get

23 = 19 x 1 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 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 5061 and 8915 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(42,23) = HCF(233,42) = HCF(1207,233) = HCF(3854,1207) = HCF(5061,3854) = HCF(8915,5061) .

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Frequently Asked Questions on HCF of 5061, 8915 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 5061, 8915?

Answer: HCF of 5061, 8915 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5061, 8915 using Euclid's Algorithm?

Answer: For arbitrary numbers 5061, 8915 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.