Highest Common Factor of 6413, 2432 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 6413, 2432 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6413, 2432 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 6413, 2432 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 6413, 2432 is 1.

HCF(6413, 2432) = 1

HCF of 6413, 2432 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 6413, 2432 is 1.

Highest Common Factor of 6413,2432 using Euclid's algorithm

Highest Common Factor of 6413,2432 is 1

Step 1: Since 6413 > 2432, we apply the division lemma to 6413 and 2432, to get

6413 = 2432 x 2 + 1549

Step 2: Since the reminder 2432 ≠ 0, we apply division lemma to 1549 and 2432, to get

2432 = 1549 x 1 + 883

Step 3: We consider the new divisor 1549 and the new remainder 883, and apply the division lemma to get

1549 = 883 x 1 + 666

We consider the new divisor 883 and the new remainder 666,and apply the division lemma to get

883 = 666 x 1 + 217

We consider the new divisor 666 and the new remainder 217,and apply the division lemma to get

666 = 217 x 3 + 15

We consider the new divisor 217 and the new remainder 15,and apply the division lemma to get

217 = 15 x 14 + 7

We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get

15 = 7 x 2 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6413 and 2432 is 1

Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(217,15) = HCF(666,217) = HCF(883,666) = HCF(1549,883) = HCF(2432,1549) = HCF(6413,2432) .

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Frequently Asked Questions on HCF of 6413, 2432 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 6413, 2432?

Answer: HCF of 6413, 2432 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6413, 2432 using Euclid's Algorithm?

Answer: For arbitrary numbers 6413, 2432 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.