Highest Common Factor of 477, 866 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 477, 866 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 477, 866 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 477, 866 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 477, 866 is 1.

HCF(477, 866) = 1

HCF of 477, 866 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 477, 866 is 1.

Highest Common Factor of 477,866 using Euclid's algorithm

Highest Common Factor of 477,866 is 1

Step 1: Since 866 > 477, we apply the division lemma to 866 and 477, to get

866 = 477 x 1 + 389

Step 2: Since the reminder 477 ≠ 0, we apply division lemma to 389 and 477, to get

477 = 389 x 1 + 88

Step 3: We consider the new divisor 389 and the new remainder 88, and apply the division lemma to get

389 = 88 x 4 + 37

We consider the new divisor 88 and the new remainder 37,and apply the division lemma to get

88 = 37 x 2 + 14

We consider the new divisor 37 and the new remainder 14,and apply the division lemma to get

37 = 14 x 2 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 477 and 866 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(37,14) = HCF(88,37) = HCF(389,88) = HCF(477,389) = HCF(866,477) .

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Frequently Asked Questions on HCF of 477, 866 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 477, 866?

Answer: HCF of 477, 866 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 477, 866 using Euclid's Algorithm?

Answer: For arbitrary numbers 477, 866 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.