Highest Common Factor of 2887, 9108 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 2887, 9108 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2887, 9108 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 2887, 9108 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 2887, 9108 is 1.

HCF(2887, 9108) = 1

HCF of 2887, 9108 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 2887, 9108 is 1.

Highest Common Factor of 2887,9108 using Euclid's algorithm

Highest Common Factor of 2887,9108 is 1

Step 1: Since 9108 > 2887, we apply the division lemma to 9108 and 2887, to get

9108 = 2887 x 3 + 447

Step 2: Since the reminder 2887 ≠ 0, we apply division lemma to 447 and 2887, to get

2887 = 447 x 6 + 205

Step 3: We consider the new divisor 447 and the new remainder 205, and apply the division lemma to get

447 = 205 x 2 + 37

We consider the new divisor 205 and the new remainder 37,and apply the division lemma to get

205 = 37 x 5 + 20

We consider the new divisor 37 and the new remainder 20,and apply the division lemma to get

37 = 20 x 1 + 17

We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get

20 = 17 x 1 + 3

We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get

17 = 3 x 5 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 2887 and 9108 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(37,20) = HCF(205,37) = HCF(447,205) = HCF(2887,447) = HCF(9108,2887) .

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Frequently Asked Questions on HCF of 2887, 9108 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 2887, 9108?

Answer: HCF of 2887, 9108 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2887, 9108 using Euclid's Algorithm?

Answer: For arbitrary numbers 2887, 9108 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.