Highest Common Factor of 6451, 8883, 97332 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 6451, 8883, 97332 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6451, 8883, 97332 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 6451, 8883, 97332 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 6451, 8883, 97332 is 1.

HCF(6451, 8883, 97332) = 1

HCF of 6451, 8883, 97332 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 6451, 8883, 97332 is 1.

Highest Common Factor of 6451,8883,97332 using Euclid's algorithm

Highest Common Factor of 6451,8883,97332 is 1

Step 1: Since 8883 > 6451, we apply the division lemma to 8883 and 6451, to get

8883 = 6451 x 1 + 2432

Step 2: Since the reminder 6451 ≠ 0, we apply division lemma to 2432 and 6451, to get

6451 = 2432 x 2 + 1587

Step 3: We consider the new divisor 2432 and the new remainder 1587, and apply the division lemma to get

2432 = 1587 x 1 + 845

We consider the new divisor 1587 and the new remainder 845,and apply the division lemma to get

1587 = 845 x 1 + 742

We consider the new divisor 845 and the new remainder 742,and apply the division lemma to get

845 = 742 x 1 + 103

We consider the new divisor 742 and the new remainder 103,and apply the division lemma to get

742 = 103 x 7 + 21

We consider the new divisor 103 and the new remainder 21,and apply the division lemma to get

103 = 21 x 4 + 19

We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get

21 = 19 x 1 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 6451 and 8883 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(103,21) = HCF(742,103) = HCF(845,742) = HCF(1587,845) = HCF(2432,1587) = HCF(6451,2432) = HCF(8883,6451) .

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

Step 1: Since 97332 > 1, we apply the division lemma to 97332 and 1, to get

97332 = 1 x 97332 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97332 is 1

Notice that 1 = HCF(97332,1) .

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Frequently Asked Questions on HCF of 6451, 8883, 97332 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 6451, 8883, 97332?

Answer: HCF of 6451, 8883, 97332 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6451, 8883, 97332 using Euclid's Algorithm?

Answer: For arbitrary numbers 6451, 8883, 97332 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.