Highest Common Factor of 9497, 8730, 87598 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 9497, 8730, 87598 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9497, 8730, 87598 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 9497, 8730, 87598 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 9497, 8730, 87598 is 1.

HCF(9497, 8730, 87598) = 1

HCF of 9497, 8730, 87598 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 9497, 8730, 87598 is 1.

Highest Common Factor of 9497,8730,87598 using Euclid's algorithm

Highest Common Factor of 9497,8730,87598 is 1

Step 1: Since 9497 > 8730, we apply the division lemma to 9497 and 8730, to get

9497 = 8730 x 1 + 767

Step 2: Since the reminder 8730 ≠ 0, we apply division lemma to 767 and 8730, to get

8730 = 767 x 11 + 293

Step 3: We consider the new divisor 767 and the new remainder 293, and apply the division lemma to get

767 = 293 x 2 + 181

We consider the new divisor 293 and the new remainder 181,and apply the division lemma to get

293 = 181 x 1 + 112

We consider the new divisor 181 and the new remainder 112,and apply the division lemma to get

181 = 112 x 1 + 69

We consider the new divisor 112 and the new remainder 69,and apply the division lemma to get

112 = 69 x 1 + 43

We consider the new divisor 69 and the new remainder 43,and apply the division lemma to get

69 = 43 x 1 + 26

We consider the new divisor 43 and the new remainder 26,and apply the division lemma to get

43 = 26 x 1 + 17

We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get

26 = 17 x 1 + 9

We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get

17 = 9 x 1 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9497 and 8730 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(43,26) = HCF(69,43) = HCF(112,69) = HCF(181,112) = HCF(293,181) = HCF(767,293) = HCF(8730,767) = HCF(9497,8730) .

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

Step 1: Since 87598 > 1, we apply the division lemma to 87598 and 1, to get

87598 = 1 x 87598 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87598 is 1

Notice that 1 = HCF(87598,1) .

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Frequently Asked Questions on HCF of 9497, 8730, 87598 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 9497, 8730, 87598?

Answer: HCF of 9497, 8730, 87598 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9497, 8730, 87598 using Euclid's Algorithm?

Answer: For arbitrary numbers 9497, 8730, 87598 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.