Highest Common Factor of 6472, 8379, 32851 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 6472, 8379, 32851 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6472, 8379, 32851 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 6472, 8379, 32851 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 6472, 8379, 32851 is 1.

HCF(6472, 8379, 32851) = 1

HCF of 6472, 8379, 32851 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 6472, 8379, 32851 is 1.

Highest Common Factor of 6472,8379,32851 using Euclid's algorithm

Highest Common Factor of 6472,8379,32851 is 1

Step 1: Since 8379 > 6472, we apply the division lemma to 8379 and 6472, to get

8379 = 6472 x 1 + 1907

Step 2: Since the reminder 6472 ≠ 0, we apply division lemma to 1907 and 6472, to get

6472 = 1907 x 3 + 751

Step 3: We consider the new divisor 1907 and the new remainder 751, and apply the division lemma to get

1907 = 751 x 2 + 405

We consider the new divisor 751 and the new remainder 405,and apply the division lemma to get

751 = 405 x 1 + 346

We consider the new divisor 405 and the new remainder 346,and apply the division lemma to get

405 = 346 x 1 + 59

We consider the new divisor 346 and the new remainder 59,and apply the division lemma to get

346 = 59 x 5 + 51

We consider the new divisor 59 and the new remainder 51,and apply the division lemma to get

59 = 51 x 1 + 8

We consider the new divisor 51 and the new remainder 8,and apply the division lemma to get

51 = 8 x 6 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 6472 and 8379 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(51,8) = HCF(59,51) = HCF(346,59) = HCF(405,346) = HCF(751,405) = HCF(1907,751) = HCF(6472,1907) = HCF(8379,6472) .

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

Step 1: Since 32851 > 1, we apply the division lemma to 32851 and 1, to get

32851 = 1 x 32851 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32851 is 1

Notice that 1 = HCF(32851,1) .

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Frequently Asked Questions on HCF of 6472, 8379, 32851 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 6472, 8379, 32851?

Answer: HCF of 6472, 8379, 32851 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6472, 8379, 32851 using Euclid's Algorithm?

Answer: For arbitrary numbers 6472, 8379, 32851 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.