Highest Common Factor of 7567, 9376 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 7567, 9376 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7567, 9376 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 7567, 9376 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 7567, 9376 is 1.

HCF(7567, 9376) = 1

HCF of 7567, 9376 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 7567, 9376 is 1.

Highest Common Factor of 7567,9376 using Euclid's algorithm

Highest Common Factor of 7567,9376 is 1

Step 1: Since 9376 > 7567, we apply the division lemma to 9376 and 7567, to get

9376 = 7567 x 1 + 1809

Step 2: Since the reminder 7567 ≠ 0, we apply division lemma to 1809 and 7567, to get

7567 = 1809 x 4 + 331

Step 3: We consider the new divisor 1809 and the new remainder 331, and apply the division lemma to get

1809 = 331 x 5 + 154

We consider the new divisor 331 and the new remainder 154,and apply the division lemma to get

331 = 154 x 2 + 23

We consider the new divisor 154 and the new remainder 23,and apply the division lemma to get

154 = 23 x 6 + 16

We consider the new divisor 23 and the new remainder 16,and apply the division lemma to get

23 = 16 x 1 + 7

We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get

16 = 7 x 2 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 7567 and 9376 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(23,16) = HCF(154,23) = HCF(331,154) = HCF(1809,331) = HCF(7567,1809) = HCF(9376,7567) .

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Frequently Asked Questions on HCF of 7567, 9376 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 7567, 9376?

Answer: HCF of 7567, 9376 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7567, 9376 using Euclid's Algorithm?

Answer: For arbitrary numbers 7567, 9376 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.