Highest Common Factor of 7271, 9527 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 7271, 9527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7271, 9527 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 7271, 9527 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 7271, 9527 is 1.

HCF(7271, 9527) = 1

HCF of 7271, 9527 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 7271, 9527 is 1.

Highest Common Factor of 7271,9527 using Euclid's algorithm

Highest Common Factor of 7271,9527 is 1

Step 1: Since 9527 > 7271, we apply the division lemma to 9527 and 7271, to get

9527 = 7271 x 1 + 2256

Step 2: Since the reminder 7271 ≠ 0, we apply division lemma to 2256 and 7271, to get

7271 = 2256 x 3 + 503

Step 3: We consider the new divisor 2256 and the new remainder 503, and apply the division lemma to get

2256 = 503 x 4 + 244

We consider the new divisor 503 and the new remainder 244,and apply the division lemma to get

503 = 244 x 2 + 15

We consider the new divisor 244 and the new remainder 15,and apply the division lemma to get

244 = 15 x 16 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 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 7271 and 9527 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(244,15) = HCF(503,244) = HCF(2256,503) = HCF(7271,2256) = HCF(9527,7271) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 7271, 9527 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 7271, 9527?

Answer: HCF of 7271, 9527 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7271, 9527 using Euclid's Algorithm?

Answer: For arbitrary numbers 7271, 9527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.