Highest Common Factor of 9371, 8497, 65262 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 9371, 8497, 65262 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9371, 8497, 65262 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 9371, 8497, 65262 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 9371, 8497, 65262 is 1.

HCF(9371, 8497, 65262) = 1

HCF of 9371, 8497, 65262 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 9371, 8497, 65262 is 1.

Highest Common Factor of 9371,8497,65262 using Euclid's algorithm

Highest Common Factor of 9371,8497,65262 is 1

Step 1: Since 9371 > 8497, we apply the division lemma to 9371 and 8497, to get

9371 = 8497 x 1 + 874

Step 2: Since the reminder 8497 ≠ 0, we apply division lemma to 874 and 8497, to get

8497 = 874 x 9 + 631

Step 3: We consider the new divisor 874 and the new remainder 631, and apply the division lemma to get

874 = 631 x 1 + 243

We consider the new divisor 631 and the new remainder 243,and apply the division lemma to get

631 = 243 x 2 + 145

We consider the new divisor 243 and the new remainder 145,and apply the division lemma to get

243 = 145 x 1 + 98

We consider the new divisor 145 and the new remainder 98,and apply the division lemma to get

145 = 98 x 1 + 47

We consider the new divisor 98 and the new remainder 47,and apply the division lemma to get

98 = 47 x 2 + 4

We consider the new divisor 47 and the new remainder 4,and apply the division lemma to get

47 = 4 x 11 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9371 and 8497 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(47,4) = HCF(98,47) = HCF(145,98) = HCF(243,145) = HCF(631,243) = HCF(874,631) = HCF(8497,874) = HCF(9371,8497) .

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

Step 1: Since 65262 > 1, we apply the division lemma to 65262 and 1, to get

65262 = 1 x 65262 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 65262 is 1

Notice that 1 = HCF(65262,1) .

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Frequently Asked Questions on HCF of 9371, 8497, 65262 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 9371, 8497, 65262?

Answer: HCF of 9371, 8497, 65262 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9371, 8497, 65262 using Euclid's Algorithm?

Answer: For arbitrary numbers 9371, 8497, 65262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.