Highest Common Factor of 6472, 3842, 97297 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, 3842, 97297 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6472, 3842, 97297 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, 3842, 97297 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, 3842, 97297 is 1.

HCF(6472, 3842, 97297) = 1

HCF of 6472, 3842, 97297 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, 3842, 97297 is 1.

Highest Common Factor of 6472,3842,97297 using Euclid's algorithm

Highest Common Factor of 6472,3842,97297 is 1

Step 1: Since 6472 > 3842, we apply the division lemma to 6472 and 3842, to get

6472 = 3842 x 1 + 2630

Step 2: Since the reminder 3842 ≠ 0, we apply division lemma to 2630 and 3842, to get

3842 = 2630 x 1 + 1212

Step 3: We consider the new divisor 2630 and the new remainder 1212, and apply the division lemma to get

2630 = 1212 x 2 + 206

We consider the new divisor 1212 and the new remainder 206,and apply the division lemma to get

1212 = 206 x 5 + 182

We consider the new divisor 206 and the new remainder 182,and apply the division lemma to get

206 = 182 x 1 + 24

We consider the new divisor 182 and the new remainder 24,and apply the division lemma to get

182 = 24 x 7 + 14

We consider the new divisor 24 and the new remainder 14,and apply the division lemma to get

24 = 14 x 1 + 10

We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get

14 = 10 x 1 + 4

We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get

10 = 4 x 2 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6472 and 3842 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(24,14) = HCF(182,24) = HCF(206,182) = HCF(1212,206) = HCF(2630,1212) = HCF(3842,2630) = HCF(6472,3842) .

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

Step 1: Since 97297 > 2, we apply the division lemma to 97297 and 2, to get

97297 = 2 x 48648 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 97297 is 1

Notice that 1 = HCF(2,1) = HCF(97297,2) .

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Frequently Asked Questions on HCF of 6472, 3842, 97297 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, 3842, 97297?

Answer: HCF of 6472, 3842, 97297 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6472, 3842, 97297 using Euclid's Algorithm?

Answer: For arbitrary numbers 6472, 3842, 97297 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.