Highest Common Factor of 9517, 8035 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 9517, 8035 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9517, 8035 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 9517, 8035 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 9517, 8035 is 1.

HCF(9517, 8035) = 1

HCF of 9517, 8035 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 9517, 8035 is 1.

Highest Common Factor of 9517,8035 using Euclid's algorithm

Highest Common Factor of 9517,8035 is 1

Step 1: Since 9517 > 8035, we apply the division lemma to 9517 and 8035, to get

9517 = 8035 x 1 + 1482

Step 2: Since the reminder 8035 ≠ 0, we apply division lemma to 1482 and 8035, to get

8035 = 1482 x 5 + 625

Step 3: We consider the new divisor 1482 and the new remainder 625, and apply the division lemma to get

1482 = 625 x 2 + 232

We consider the new divisor 625 and the new remainder 232,and apply the division lemma to get

625 = 232 x 2 + 161

We consider the new divisor 232 and the new remainder 161,and apply the division lemma to get

232 = 161 x 1 + 71

We consider the new divisor 161 and the new remainder 71,and apply the division lemma to get

161 = 71 x 2 + 19

We consider the new divisor 71 and the new remainder 19,and apply the division lemma to get

71 = 19 x 3 + 14

We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get

19 = 14 x 1 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 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 9517 and 8035 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(71,19) = HCF(161,71) = HCF(232,161) = HCF(625,232) = HCF(1482,625) = HCF(8035,1482) = HCF(9517,8035) .

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Frequently Asked Questions on HCF of 9517, 8035 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 9517, 8035?

Answer: HCF of 9517, 8035 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9517, 8035 using Euclid's Algorithm?

Answer: For arbitrary numbers 9517, 8035 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.