Highest Common Factor of 7156, 6258, 84591 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 7156, 6258, 84591 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7156, 6258, 84591 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 7156, 6258, 84591 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 7156, 6258, 84591 is 1.

HCF(7156, 6258, 84591) = 1

HCF of 7156, 6258, 84591 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 7156, 6258, 84591 is 1.

Highest Common Factor of 7156,6258,84591 using Euclid's algorithm

Highest Common Factor of 7156,6258,84591 is 1

Step 1: Since 7156 > 6258, we apply the division lemma to 7156 and 6258, to get

7156 = 6258 x 1 + 898

Step 2: Since the reminder 6258 ≠ 0, we apply division lemma to 898 and 6258, to get

6258 = 898 x 6 + 870

Step 3: We consider the new divisor 898 and the new remainder 870, and apply the division lemma to get

898 = 870 x 1 + 28

We consider the new divisor 870 and the new remainder 28,and apply the division lemma to get

870 = 28 x 31 + 2

We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get

28 = 2 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7156 and 6258 is 2

Notice that 2 = HCF(28,2) = HCF(870,28) = HCF(898,870) = HCF(6258,898) = HCF(7156,6258) .

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

Step 1: Since 84591 > 2, we apply the division lemma to 84591 and 2, to get

84591 = 2 x 42295 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 84591 is 1

Notice that 1 = HCF(2,1) = HCF(84591,2) .

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Frequently Asked Questions on HCF of 7156, 6258, 84591 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 7156, 6258, 84591?

Answer: HCF of 7156, 6258, 84591 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7156, 6258, 84591 using Euclid's Algorithm?

Answer: For arbitrary numbers 7156, 6258, 84591 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.