Highest Common Factor of 3921, 2510 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 3921, 2510 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3921, 2510 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 3921, 2510 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 3921, 2510 is 1.

HCF(3921, 2510) = 1

HCF of 3921, 2510 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 3921, 2510 is 1.

Highest Common Factor of 3921,2510 using Euclid's algorithm

Highest Common Factor of 3921,2510 is 1

Step 1: Since 3921 > 2510, we apply the division lemma to 3921 and 2510, to get

3921 = 2510 x 1 + 1411

Step 2: Since the reminder 2510 ≠ 0, we apply division lemma to 1411 and 2510, to get

2510 = 1411 x 1 + 1099

Step 3: We consider the new divisor 1411 and the new remainder 1099, and apply the division lemma to get

1411 = 1099 x 1 + 312

We consider the new divisor 1099 and the new remainder 312,and apply the division lemma to get

1099 = 312 x 3 + 163

We consider the new divisor 312 and the new remainder 163,and apply the division lemma to get

312 = 163 x 1 + 149

We consider the new divisor 163 and the new remainder 149,and apply the division lemma to get

163 = 149 x 1 + 14

We consider the new divisor 149 and the new remainder 14,and apply the division lemma to get

149 = 14 x 10 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3921 and 2510 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(149,14) = HCF(163,149) = HCF(312,163) = HCF(1099,312) = HCF(1411,1099) = HCF(2510,1411) = HCF(3921,2510) .

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Frequently Asked Questions on HCF of 3921, 2510 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 3921, 2510?

Answer: HCF of 3921, 2510 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3921, 2510 using Euclid's Algorithm?

Answer: For arbitrary numbers 3921, 2510 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.