Highest Common Factor of 8971, 6817, 94820 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 8971, 6817, 94820 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8971, 6817, 94820 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 8971, 6817, 94820 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 8971, 6817, 94820 is 1.

HCF(8971, 6817, 94820) = 1

HCF of 8971, 6817, 94820 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 8971, 6817, 94820 is 1.

Highest Common Factor of 8971,6817,94820 using Euclid's algorithm

Highest Common Factor of 8971,6817,94820 is 1

Step 1: Since 8971 > 6817, we apply the division lemma to 8971 and 6817, to get

8971 = 6817 x 1 + 2154

Step 2: Since the reminder 6817 ≠ 0, we apply division lemma to 2154 and 6817, to get

6817 = 2154 x 3 + 355

Step 3: We consider the new divisor 2154 and the new remainder 355, and apply the division lemma to get

2154 = 355 x 6 + 24

We consider the new divisor 355 and the new remainder 24,and apply the division lemma to get

355 = 24 x 14 + 19

We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 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 8971 and 6817 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(355,24) = HCF(2154,355) = HCF(6817,2154) = HCF(8971,6817) .

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

Step 1: Since 94820 > 1, we apply the division lemma to 94820 and 1, to get

94820 = 1 x 94820 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 94820 is 1

Notice that 1 = HCF(94820,1) .

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Frequently Asked Questions on HCF of 8971, 6817, 94820 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 8971, 6817, 94820?

Answer: HCF of 8971, 6817, 94820 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8971, 6817, 94820 using Euclid's Algorithm?

Answer: For arbitrary numbers 8971, 6817, 94820 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.