Highest Common Factor of 9367, 7564 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 9367, 7564 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9367, 7564 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 9367, 7564 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 9367, 7564 is 1.

HCF(9367, 7564) = 1

HCF of 9367, 7564 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 9367, 7564 is 1.

Highest Common Factor of 9367,7564 using Euclid's algorithm

Highest Common Factor of 9367,7564 is 1

Step 1: Since 9367 > 7564, we apply the division lemma to 9367 and 7564, to get

9367 = 7564 x 1 + 1803

Step 2: Since the reminder 7564 ≠ 0, we apply division lemma to 1803 and 7564, to get

7564 = 1803 x 4 + 352

Step 3: We consider the new divisor 1803 and the new remainder 352, and apply the division lemma to get

1803 = 352 x 5 + 43

We consider the new divisor 352 and the new remainder 43,and apply the division lemma to get

352 = 43 x 8 + 8

We consider the new divisor 43 and the new remainder 8,and apply the division lemma to get

43 = 8 x 5 + 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 9367 and 7564 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(43,8) = HCF(352,43) = HCF(1803,352) = HCF(7564,1803) = HCF(9367,7564) .

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Frequently Asked Questions on HCF of 9367, 7564 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 9367, 7564?

Answer: HCF of 9367, 7564 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9367, 7564 using Euclid's Algorithm?

Answer: For arbitrary numbers 9367, 7564 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.