Highest Common Factor of 6384, 7913 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 6384, 7913 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6384, 7913 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 6384, 7913 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 6384, 7913 is 1.

HCF(6384, 7913) = 1

HCF of 6384, 7913 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 6384, 7913 is 1.

Highest Common Factor of 6384,7913 using Euclid's algorithm

Highest Common Factor of 6384,7913 is 1

Step 1: Since 7913 > 6384, we apply the division lemma to 7913 and 6384, to get

7913 = 6384 x 1 + 1529

Step 2: Since the reminder 6384 ≠ 0, we apply division lemma to 1529 and 6384, to get

6384 = 1529 x 4 + 268

Step 3: We consider the new divisor 1529 and the new remainder 268, and apply the division lemma to get

1529 = 268 x 5 + 189

We consider the new divisor 268 and the new remainder 189,and apply the division lemma to get

268 = 189 x 1 + 79

We consider the new divisor 189 and the new remainder 79,and apply the division lemma to get

189 = 79 x 2 + 31

We consider the new divisor 79 and the new remainder 31,and apply the division lemma to get

79 = 31 x 2 + 17

We consider the new divisor 31 and the new remainder 17,and apply the division lemma to get

31 = 17 x 1 + 14

We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get

17 = 14 x 1 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 6384 and 7913 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(31,17) = HCF(79,31) = HCF(189,79) = HCF(268,189) = HCF(1529,268) = HCF(6384,1529) = HCF(7913,6384) .

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Frequently Asked Questions on HCF of 6384, 7913 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 6384, 7913?

Answer: HCF of 6384, 7913 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6384, 7913 using Euclid's Algorithm?

Answer: For arbitrary numbers 6384, 7913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.