Highest Common Factor of 7816, 9271 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 7816, 9271 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7816, 9271 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 7816, 9271 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 7816, 9271 is 1.

HCF(7816, 9271) = 1

HCF of 7816, 9271 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 7816, 9271 is 1.

Highest Common Factor of 7816,9271 using Euclid's algorithm

Highest Common Factor of 7816,9271 is 1

Step 1: Since 9271 > 7816, we apply the division lemma to 9271 and 7816, to get

9271 = 7816 x 1 + 1455

Step 2: Since the reminder 7816 ≠ 0, we apply division lemma to 1455 and 7816, to get

7816 = 1455 x 5 + 541

Step 3: We consider the new divisor 1455 and the new remainder 541, and apply the division lemma to get

1455 = 541 x 2 + 373

We consider the new divisor 541 and the new remainder 373,and apply the division lemma to get

541 = 373 x 1 + 168

We consider the new divisor 373 and the new remainder 168,and apply the division lemma to get

373 = 168 x 2 + 37

We consider the new divisor 168 and the new remainder 37,and apply the division lemma to get

168 = 37 x 4 + 20

We consider the new divisor 37 and the new remainder 20,and apply the division lemma to get

37 = 20 x 1 + 17

We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get

20 = 17 x 1 + 3

We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get

17 = 3 x 5 + 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 7816 and 9271 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(37,20) = HCF(168,37) = HCF(373,168) = HCF(541,373) = HCF(1455,541) = HCF(7816,1455) = HCF(9271,7816) .

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Frequently Asked Questions on HCF of 7816, 9271 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 7816, 9271?

Answer: HCF of 7816, 9271 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7816, 9271 using Euclid's Algorithm?

Answer: For arbitrary numbers 7816, 9271 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.