Highest Common Factor of 3087, 7904 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 3087, 7904 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3087, 7904 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 3087, 7904 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 3087, 7904 is 1.

HCF(3087, 7904) = 1

HCF of 3087, 7904 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 3087, 7904 is 1.

Highest Common Factor of 3087,7904 using Euclid's algorithm

Highest Common Factor of 3087,7904 is 1

Step 1: Since 7904 > 3087, we apply the division lemma to 7904 and 3087, to get

7904 = 3087 x 2 + 1730

Step 2: Since the reminder 3087 ≠ 0, we apply division lemma to 1730 and 3087, to get

3087 = 1730 x 1 + 1357

Step 3: We consider the new divisor 1730 and the new remainder 1357, and apply the division lemma to get

1730 = 1357 x 1 + 373

We consider the new divisor 1357 and the new remainder 373,and apply the division lemma to get

1357 = 373 x 3 + 238

We consider the new divisor 373 and the new remainder 238,and apply the division lemma to get

373 = 238 x 1 + 135

We consider the new divisor 238 and the new remainder 135,and apply the division lemma to get

238 = 135 x 1 + 103

We consider the new divisor 135 and the new remainder 103,and apply the division lemma to get

135 = 103 x 1 + 32

We consider the new divisor 103 and the new remainder 32,and apply the division lemma to get

103 = 32 x 3 + 7

We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get

32 = 7 x 4 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

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 3087 and 7904 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(103,32) = HCF(135,103) = HCF(238,135) = HCF(373,238) = HCF(1357,373) = HCF(1730,1357) = HCF(3087,1730) = HCF(7904,3087) .

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Frequently Asked Questions on HCF of 3087, 7904 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 3087, 7904?

Answer: HCF of 3087, 7904 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3087, 7904 using Euclid's Algorithm?

Answer: For arbitrary numbers 3087, 7904 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.