Highest Common Factor of 2722, 9247 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 2722, 9247 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2722, 9247 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 2722, 9247 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 2722, 9247 is 1.

HCF(2722, 9247) = 1

HCF of 2722, 9247 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 2722, 9247 is 1.

Highest Common Factor of 2722,9247 using Euclid's algorithm

Highest Common Factor of 2722,9247 is 1

Step 1: Since 9247 > 2722, we apply the division lemma to 9247 and 2722, to get

9247 = 2722 x 3 + 1081

Step 2: Since the reminder 2722 ≠ 0, we apply division lemma to 1081 and 2722, to get

2722 = 1081 x 2 + 560

Step 3: We consider the new divisor 1081 and the new remainder 560, and apply the division lemma to get

1081 = 560 x 1 + 521

We consider the new divisor 560 and the new remainder 521,and apply the division lemma to get

560 = 521 x 1 + 39

We consider the new divisor 521 and the new remainder 39,and apply the division lemma to get

521 = 39 x 13 + 14

We consider the new divisor 39 and the new remainder 14,and apply the division lemma to get

39 = 14 x 2 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 2722 and 9247 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(39,14) = HCF(521,39) = HCF(560,521) = HCF(1081,560) = HCF(2722,1081) = HCF(9247,2722) .

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Frequently Asked Questions on HCF of 2722, 9247 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 2722, 9247?

Answer: HCF of 2722, 9247 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2722, 9247 using Euclid's Algorithm?

Answer: For arbitrary numbers 2722, 9247 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.