Highest Common Factor of 5951, 8546, 87466 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 5951, 8546, 87466 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5951, 8546, 87466 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 5951, 8546, 87466 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 5951, 8546, 87466 is 1.

HCF(5951, 8546, 87466) = 1

HCF of 5951, 8546, 87466 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 5951, 8546, 87466 is 1.

Highest Common Factor of 5951,8546,87466 using Euclid's algorithm

Highest Common Factor of 5951,8546,87466 is 1

Step 1: Since 8546 > 5951, we apply the division lemma to 8546 and 5951, to get

8546 = 5951 x 1 + 2595

Step 2: Since the reminder 5951 ≠ 0, we apply division lemma to 2595 and 5951, to get

5951 = 2595 x 2 + 761

Step 3: We consider the new divisor 2595 and the new remainder 761, and apply the division lemma to get

2595 = 761 x 3 + 312

We consider the new divisor 761 and the new remainder 312,and apply the division lemma to get

761 = 312 x 2 + 137

We consider the new divisor 312 and the new remainder 137,and apply the division lemma to get

312 = 137 x 2 + 38

We consider the new divisor 137 and the new remainder 38,and apply the division lemma to get

137 = 38 x 3 + 23

We consider the new divisor 38 and the new remainder 23,and apply the division lemma to get

38 = 23 x 1 + 15

We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get

23 = 15 x 1 + 8

We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get

15 = 8 x 1 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5951 and 8546 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(38,23) = HCF(137,38) = HCF(312,137) = HCF(761,312) = HCF(2595,761) = HCF(5951,2595) = HCF(8546,5951) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 87466 > 1, we apply the division lemma to 87466 and 1, to get

87466 = 1 x 87466 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87466 is 1

Notice that 1 = HCF(87466,1) .

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Frequently Asked Questions on HCF of 5951, 8546, 87466 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 5951, 8546, 87466?

Answer: HCF of 5951, 8546, 87466 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5951, 8546, 87466 using Euclid's Algorithm?

Answer: For arbitrary numbers 5951, 8546, 87466 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.