Highest Common Factor of 6332, 3419, 81008 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 6332, 3419, 81008 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6332, 3419, 81008 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 6332, 3419, 81008 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 6332, 3419, 81008 is 1.

HCF(6332, 3419, 81008) = 1

HCF of 6332, 3419, 81008 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 6332, 3419, 81008 is 1.

Highest Common Factor of 6332,3419,81008 using Euclid's algorithm

Highest Common Factor of 6332,3419,81008 is 1

Step 1: Since 6332 > 3419, we apply the division lemma to 6332 and 3419, to get

6332 = 3419 x 1 + 2913

Step 2: Since the reminder 3419 ≠ 0, we apply division lemma to 2913 and 3419, to get

3419 = 2913 x 1 + 506

Step 3: We consider the new divisor 2913 and the new remainder 506, and apply the division lemma to get

2913 = 506 x 5 + 383

We consider the new divisor 506 and the new remainder 383,and apply the division lemma to get

506 = 383 x 1 + 123

We consider the new divisor 383 and the new remainder 123,and apply the division lemma to get

383 = 123 x 3 + 14

We consider the new divisor 123 and the new remainder 14,and apply the division lemma to get

123 = 14 x 8 + 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 6332 and 3419 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(123,14) = HCF(383,123) = HCF(506,383) = HCF(2913,506) = HCF(3419,2913) = HCF(6332,3419) .

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

Step 1: Since 81008 > 1, we apply the division lemma to 81008 and 1, to get

81008 = 1 x 81008 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81008 is 1

Notice that 1 = HCF(81008,1) .

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Frequently Asked Questions on HCF of 6332, 3419, 81008 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 6332, 3419, 81008?

Answer: HCF of 6332, 3419, 81008 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6332, 3419, 81008 using Euclid's Algorithm?

Answer: For arbitrary numbers 6332, 3419, 81008 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.