Highest Common Factor of 887, 516 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 887, 516 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 887, 516 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 887, 516 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 887, 516 is 1.

HCF(887, 516) = 1

HCF of 887, 516 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 887, 516 is 1.

Highest Common Factor of 887,516 using Euclid's algorithm

Highest Common Factor of 887,516 is 1

Step 1: Since 887 > 516, we apply the division lemma to 887 and 516, to get

887 = 516 x 1 + 371

Step 2: Since the reminder 516 ≠ 0, we apply division lemma to 371 and 516, to get

516 = 371 x 1 + 145

Step 3: We consider the new divisor 371 and the new remainder 145, and apply the division lemma to get

371 = 145 x 2 + 81

We consider the new divisor 145 and the new remainder 81,and apply the division lemma to get

145 = 81 x 1 + 64

We consider the new divisor 81 and the new remainder 64,and apply the division lemma to get

81 = 64 x 1 + 17

We consider the new divisor 64 and the new remainder 17,and apply the division lemma to get

64 = 17 x 3 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 887 and 516 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(64,17) = HCF(81,64) = HCF(145,81) = HCF(371,145) = HCF(516,371) = HCF(887,516) .

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Frequently Asked Questions on HCF of 887, 516 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 887, 516?

Answer: HCF of 887, 516 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 887, 516 using Euclid's Algorithm?

Answer: For arbitrary numbers 887, 516 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.