Highest Common Factor of 6417, 9607 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 6417, 9607 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6417, 9607 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 6417, 9607 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 6417, 9607 is 1.

HCF(6417, 9607) = 1

HCF of 6417, 9607 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 6417, 9607 is 1.

Highest Common Factor of 6417,9607 using Euclid's algorithm

Highest Common Factor of 6417,9607 is 1

Step 1: Since 9607 > 6417, we apply the division lemma to 9607 and 6417, to get

9607 = 6417 x 1 + 3190

Step 2: Since the reminder 6417 ≠ 0, we apply division lemma to 3190 and 6417, to get

6417 = 3190 x 2 + 37

Step 3: We consider the new divisor 3190 and the new remainder 37, and apply the division lemma to get

3190 = 37 x 86 + 8

We consider the new divisor 37 and the new remainder 8,and apply the division lemma to get

37 = 8 x 4 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 6417 and 9607 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(37,8) = HCF(3190,37) = HCF(6417,3190) = HCF(9607,6417) .

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Frequently Asked Questions on HCF of 6417, 9607 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 6417, 9607?

Answer: HCF of 6417, 9607 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6417, 9607 using Euclid's Algorithm?

Answer: For arbitrary numbers 6417, 9607 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.