Highest Common Factor of 8721, 3386, 32363 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 8721, 3386, 32363 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8721, 3386, 32363 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 8721, 3386, 32363 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 8721, 3386, 32363 is 1.

HCF(8721, 3386, 32363) = 1

HCF of 8721, 3386, 32363 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 8721, 3386, 32363 is 1.

Highest Common Factor of 8721,3386,32363 using Euclid's algorithm

Highest Common Factor of 8721,3386,32363 is 1

Step 1: Since 8721 > 3386, we apply the division lemma to 8721 and 3386, to get

8721 = 3386 x 2 + 1949

Step 2: Since the reminder 3386 ≠ 0, we apply division lemma to 1949 and 3386, to get

3386 = 1949 x 1 + 1437

Step 3: We consider the new divisor 1949 and the new remainder 1437, and apply the division lemma to get

1949 = 1437 x 1 + 512

We consider the new divisor 1437 and the new remainder 512,and apply the division lemma to get

1437 = 512 x 2 + 413

We consider the new divisor 512 and the new remainder 413,and apply the division lemma to get

512 = 413 x 1 + 99

We consider the new divisor 413 and the new remainder 99,and apply the division lemma to get

413 = 99 x 4 + 17

We consider the new divisor 99 and the new remainder 17,and apply the division lemma to get

99 = 17 x 5 + 14

We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get

17 = 14 x 1 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 8721 and 3386 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(99,17) = HCF(413,99) = HCF(512,413) = HCF(1437,512) = HCF(1949,1437) = HCF(3386,1949) = HCF(8721,3386) .

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

Step 1: Since 32363 > 1, we apply the division lemma to 32363 and 1, to get

32363 = 1 x 32363 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32363 is 1

Notice that 1 = HCF(32363,1) .

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Frequently Asked Questions on HCF of 8721, 3386, 32363 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 8721, 3386, 32363?

Answer: HCF of 8721, 3386, 32363 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8721, 3386, 32363 using Euclid's Algorithm?

Answer: For arbitrary numbers 8721, 3386, 32363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.