Highest Common Factor of 3990, 6082 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 3990, 6082 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 3990, 6082 is 2 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 3990, 6082 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 3990, 6082 is 2.

HCF(3990, 6082) = 2

HCF of 3990, 6082 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 3990, 6082 is 2.

Highest Common Factor of 3990,6082 using Euclid's algorithm

Highest Common Factor of 3990,6082 is 2

Step 1: Since 6082 > 3990, we apply the division lemma to 6082 and 3990, to get

6082 = 3990 x 1 + 2092

Step 2: Since the reminder 3990 ≠ 0, we apply division lemma to 2092 and 3990, to get

3990 = 2092 x 1 + 1898

Step 3: We consider the new divisor 2092 and the new remainder 1898, and apply the division lemma to get

2092 = 1898 x 1 + 194

We consider the new divisor 1898 and the new remainder 194,and apply the division lemma to get

1898 = 194 x 9 + 152

We consider the new divisor 194 and the new remainder 152,and apply the division lemma to get

194 = 152 x 1 + 42

We consider the new divisor 152 and the new remainder 42,and apply the division lemma to get

152 = 42 x 3 + 26

We consider the new divisor 42 and the new remainder 26,and apply the division lemma to get

42 = 26 x 1 + 16

We consider the new divisor 26 and the new remainder 16,and apply the division lemma to get

26 = 16 x 1 + 10

We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get

16 = 10 x 1 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 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 3990 and 6082 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(26,16) = HCF(42,26) = HCF(152,42) = HCF(194,152) = HCF(1898,194) = HCF(2092,1898) = HCF(3990,2092) = HCF(6082,3990) .

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Frequently Asked Questions on HCF of 3990, 6082 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 3990, 6082?

Answer: HCF of 3990, 6082 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3990, 6082 using Euclid's Algorithm?

Answer: For arbitrary numbers 3990, 6082 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.