Highest Common Factor of 6380, 3936 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 6380, 3936 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 6380, 3936 is 4 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 6380, 3936 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 6380, 3936 is 4.

HCF(6380, 3936) = 4

HCF of 6380, 3936 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 6380, 3936 is 4.

Highest Common Factor of 6380,3936 using Euclid's algorithm

Highest Common Factor of 6380,3936 is 4

Step 1: Since 6380 > 3936, we apply the division lemma to 6380 and 3936, to get

6380 = 3936 x 1 + 2444

Step 2: Since the reminder 3936 ≠ 0, we apply division lemma to 2444 and 3936, to get

3936 = 2444 x 1 + 1492

Step 3: We consider the new divisor 2444 and the new remainder 1492, and apply the division lemma to get

2444 = 1492 x 1 + 952

We consider the new divisor 1492 and the new remainder 952,and apply the division lemma to get

1492 = 952 x 1 + 540

We consider the new divisor 952 and the new remainder 540,and apply the division lemma to get

952 = 540 x 1 + 412

We consider the new divisor 540 and the new remainder 412,and apply the division lemma to get

540 = 412 x 1 + 128

We consider the new divisor 412 and the new remainder 128,and apply the division lemma to get

412 = 128 x 3 + 28

We consider the new divisor 128 and the new remainder 28,and apply the division lemma to get

128 = 28 x 4 + 16

We consider the new divisor 28 and the new remainder 16,and apply the division lemma to get

28 = 16 x 1 + 12

We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get

16 = 12 x 1 + 4

We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get

12 = 4 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6380 and 3936 is 4

Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(28,16) = HCF(128,28) = HCF(412,128) = HCF(540,412) = HCF(952,540) = HCF(1492,952) = HCF(2444,1492) = HCF(3936,2444) = HCF(6380,3936) .

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Frequently Asked Questions on HCF of 6380, 3936 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 6380, 3936?

Answer: HCF of 6380, 3936 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6380, 3936 using Euclid's Algorithm?

Answer: For arbitrary numbers 6380, 3936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.