Highest Common Factor of 8717, 7173 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 8717, 7173 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8717, 7173 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 8717, 7173 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 8717, 7173 is 1.

HCF(8717, 7173) = 1

HCF of 8717, 7173 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 8717, 7173 is 1.

Highest Common Factor of 8717,7173 using Euclid's algorithm

Highest Common Factor of 8717,7173 is 1

Step 1: Since 8717 > 7173, we apply the division lemma to 8717 and 7173, to get

8717 = 7173 x 1 + 1544

Step 2: Since the reminder 7173 ≠ 0, we apply division lemma to 1544 and 7173, to get

7173 = 1544 x 4 + 997

Step 3: We consider the new divisor 1544 and the new remainder 997, and apply the division lemma to get

1544 = 997 x 1 + 547

We consider the new divisor 997 and the new remainder 547,and apply the division lemma to get

997 = 547 x 1 + 450

We consider the new divisor 547 and the new remainder 450,and apply the division lemma to get

547 = 450 x 1 + 97

We consider the new divisor 450 and the new remainder 97,and apply the division lemma to get

450 = 97 x 4 + 62

We consider the new divisor 97 and the new remainder 62,and apply the division lemma to get

97 = 62 x 1 + 35

We consider the new divisor 62 and the new remainder 35,and apply the division lemma to get

62 = 35 x 1 + 27

We consider the new divisor 35 and the new remainder 27,and apply the division lemma to get

35 = 27 x 1 + 8

We consider the new divisor 27 and the new remainder 8,and apply the division lemma to get

27 = 8 x 3 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 8717 and 7173 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(27,8) = HCF(35,27) = HCF(62,35) = HCF(97,62) = HCF(450,97) = HCF(547,450) = HCF(997,547) = HCF(1544,997) = HCF(7173,1544) = HCF(8717,7173) .

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Frequently Asked Questions on HCF of 8717, 7173 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 8717, 7173?

Answer: HCF of 8717, 7173 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8717, 7173 using Euclid's Algorithm?

Answer: For arbitrary numbers 8717, 7173 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.