Highest Common Factor of 9766, 8929, 22681 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 9766, 8929, 22681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9766, 8929, 22681 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 9766, 8929, 22681 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 9766, 8929, 22681 is 1.

HCF(9766, 8929, 22681) = 1

HCF of 9766, 8929, 22681 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 9766, 8929, 22681 is 1.

Highest Common Factor of 9766,8929,22681 using Euclid's algorithm

Highest Common Factor of 9766,8929,22681 is 1

Step 1: Since 9766 > 8929, we apply the division lemma to 9766 and 8929, to get

9766 = 8929 x 1 + 837

Step 2: Since the reminder 8929 ≠ 0, we apply division lemma to 837 and 8929, to get

8929 = 837 x 10 + 559

Step 3: We consider the new divisor 837 and the new remainder 559, and apply the division lemma to get

837 = 559 x 1 + 278

We consider the new divisor 559 and the new remainder 278,and apply the division lemma to get

559 = 278 x 2 + 3

We consider the new divisor 278 and the new remainder 3,and apply the division lemma to get

278 = 3 x 92 + 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 9766 and 8929 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(278,3) = HCF(559,278) = HCF(837,559) = HCF(8929,837) = HCF(9766,8929) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 22681 > 1, we apply the division lemma to 22681 and 1, to get

22681 = 1 x 22681 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 22681 is 1

Notice that 1 = HCF(22681,1) .

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Frequently Asked Questions on HCF of 9766, 8929, 22681 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 9766, 8929, 22681?

Answer: HCF of 9766, 8929, 22681 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9766, 8929, 22681 using Euclid's Algorithm?

Answer: For arbitrary numbers 9766, 8929, 22681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.