Highest Common Factor of 1488, 6341, 81351 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 1488, 6341, 81351 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1488, 6341, 81351 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 1488, 6341, 81351 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 1488, 6341, 81351 is 1.

HCF(1488, 6341, 81351) = 1

HCF of 1488, 6341, 81351 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 1488, 6341, 81351 is 1.

Highest Common Factor of 1488,6341,81351 using Euclid's algorithm

Highest Common Factor of 1488,6341,81351 is 1

Step 1: Since 6341 > 1488, we apply the division lemma to 6341 and 1488, to get

6341 = 1488 x 4 + 389

Step 2: Since the reminder 1488 ≠ 0, we apply division lemma to 389 and 1488, to get

1488 = 389 x 3 + 321

Step 3: We consider the new divisor 389 and the new remainder 321, and apply the division lemma to get

389 = 321 x 1 + 68

We consider the new divisor 321 and the new remainder 68,and apply the division lemma to get

321 = 68 x 4 + 49

We consider the new divisor 68 and the new remainder 49,and apply the division lemma to get

68 = 49 x 1 + 19

We consider the new divisor 49 and the new remainder 19,and apply the division lemma to get

49 = 19 x 2 + 11

We consider the new divisor 19 and the new remainder 11,and apply the division lemma to get

19 = 11 x 1 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 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 1488 and 6341 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(49,19) = HCF(68,49) = HCF(321,68) = HCF(389,321) = HCF(1488,389) = HCF(6341,1488) .

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

Step 1: Since 81351 > 1, we apply the division lemma to 81351 and 1, to get

81351 = 1 x 81351 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81351 is 1

Notice that 1 = HCF(81351,1) .

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Frequently Asked Questions on HCF of 1488, 6341, 81351 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 1488, 6341, 81351?

Answer: HCF of 1488, 6341, 81351 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1488, 6341, 81351 using Euclid's Algorithm?

Answer: For arbitrary numbers 1488, 6341, 81351 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.