Highest Common Factor of 3980, 6236, 13167 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 3980, 6236, 13167 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3980, 6236, 13167 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 3980, 6236, 13167 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 3980, 6236, 13167 is 1.

HCF(3980, 6236, 13167) = 1

HCF of 3980, 6236, 13167 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 3980, 6236, 13167 is 1.

Highest Common Factor of 3980,6236,13167 using Euclid's algorithm

Highest Common Factor of 3980,6236,13167 is 1

Step 1: Since 6236 > 3980, we apply the division lemma to 6236 and 3980, to get

6236 = 3980 x 1 + 2256

Step 2: Since the reminder 3980 ≠ 0, we apply division lemma to 2256 and 3980, to get

3980 = 2256 x 1 + 1724

Step 3: We consider the new divisor 2256 and the new remainder 1724, and apply the division lemma to get

2256 = 1724 x 1 + 532

We consider the new divisor 1724 and the new remainder 532,and apply the division lemma to get

1724 = 532 x 3 + 128

We consider the new divisor 532 and the new remainder 128,and apply the division lemma to get

532 = 128 x 4 + 20

We consider the new divisor 128 and the new remainder 20,and apply the division lemma to get

128 = 20 x 6 + 8

We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get

20 = 8 x 2 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3980 and 6236 is 4

Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(128,20) = HCF(532,128) = HCF(1724,532) = HCF(2256,1724) = HCF(3980,2256) = HCF(6236,3980) .

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

Step 1: Since 13167 > 4, we apply the division lemma to 13167 and 4, to get

13167 = 4 x 3291 + 3

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get

4 = 3 x 1 + 1

Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 13167 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(13167,4) .

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Frequently Asked Questions on HCF of 3980, 6236, 13167 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 3980, 6236, 13167?

Answer: HCF of 3980, 6236, 13167 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3980, 6236, 13167 using Euclid's Algorithm?

Answer: For arbitrary numbers 3980, 6236, 13167 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.