Highest Common Factor of 7547, 9912 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 7547, 9912 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7547, 9912 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 7547, 9912 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 7547, 9912 is 1.

HCF(7547, 9912) = 1

HCF of 7547, 9912 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7547, 9912 is 1.

Highest Common Factor of 7547,9912 using Euclid's algorithm

Highest Common Factor of 7547,9912 is 1

Step 1: Since 9912 > 7547, we apply the division lemma to 9912 and 7547, to get

9912 = 7547 x 1 + 2365

Step 2: Since the reminder 7547 ≠ 0, we apply division lemma to 2365 and 7547, to get

7547 = 2365 x 3 + 452

Step 3: We consider the new divisor 2365 and the new remainder 452, and apply the division lemma to get

2365 = 452 x 5 + 105

We consider the new divisor 452 and the new remainder 105,and apply the division lemma to get

452 = 105 x 4 + 32

We consider the new divisor 105 and the new remainder 32,and apply the division lemma to get

105 = 32 x 3 + 9

We consider the new divisor 32 and the new remainder 9,and apply the division lemma to get

32 = 9 x 3 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7547 and 9912 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(105,32) = HCF(452,105) = HCF(2365,452) = HCF(7547,2365) = HCF(9912,7547) .

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Frequently Asked Questions on HCF of 7547, 9912 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 7547, 9912?

Answer: HCF of 7547, 9912 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7547, 9912 using Euclid's Algorithm?

Answer: For arbitrary numbers 7547, 9912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.