Highest Common Factor of 3010, 6631 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 3010, 6631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3010, 6631 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 3010, 6631 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 3010, 6631 is 1.

HCF(3010, 6631) = 1

HCF of 3010, 6631 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 3010, 6631 is 1.

Highest Common Factor of 3010,6631 using Euclid's algorithm

Highest Common Factor of 3010,6631 is 1

Step 1: Since 6631 > 3010, we apply the division lemma to 6631 and 3010, to get

6631 = 3010 x 2 + 611

Step 2: Since the reminder 3010 ≠ 0, we apply division lemma to 611 and 3010, to get

3010 = 611 x 4 + 566

Step 3: We consider the new divisor 611 and the new remainder 566, and apply the division lemma to get

611 = 566 x 1 + 45

We consider the new divisor 566 and the new remainder 45,and apply the division lemma to get

566 = 45 x 12 + 26

We consider the new divisor 45 and the new remainder 26,and apply the division lemma to get

45 = 26 x 1 + 19

We consider the new divisor 26 and the new remainder 19,and apply the division lemma to get

26 = 19 x 1 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 3010 and 6631 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(26,19) = HCF(45,26) = HCF(566,45) = HCF(611,566) = HCF(3010,611) = HCF(6631,3010) .

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Frequently Asked Questions on HCF of 3010, 6631 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 3010, 6631?

Answer: HCF of 3010, 6631 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3010, 6631 using Euclid's Algorithm?

Answer: For arbitrary numbers 3010, 6631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.