Highest Common Factor of 2788, 2597, 31143 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 2788, 2597, 31143 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2788, 2597, 31143 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 2788, 2597, 31143 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 2788, 2597, 31143 is 1.

HCF(2788, 2597, 31143) = 1

HCF of 2788, 2597, 31143 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 2788, 2597, 31143 is 1.

Highest Common Factor of 2788,2597,31143 using Euclid's algorithm

Highest Common Factor of 2788,2597,31143 is 1

Step 1: Since 2788 > 2597, we apply the division lemma to 2788 and 2597, to get

2788 = 2597 x 1 + 191

Step 2: Since the reminder 2597 ≠ 0, we apply division lemma to 191 and 2597, to get

2597 = 191 x 13 + 114

Step 3: We consider the new divisor 191 and the new remainder 114, and apply the division lemma to get

191 = 114 x 1 + 77

We consider the new divisor 114 and the new remainder 77,and apply the division lemma to get

114 = 77 x 1 + 37

We consider the new divisor 77 and the new remainder 37,and apply the division lemma to get

77 = 37 x 2 + 3

We consider the new divisor 37 and the new remainder 3,and apply the division lemma to get

37 = 3 x 12 + 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 2788 and 2597 is 1

Notice that 1 = HCF(3,1) = HCF(37,3) = HCF(77,37) = HCF(114,77) = HCF(191,114) = HCF(2597,191) = HCF(2788,2597) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 31143 > 1, we apply the division lemma to 31143 and 1, to get

31143 = 1 x 31143 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 31143 is 1

Notice that 1 = HCF(31143,1) .

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Frequently Asked Questions on HCF of 2788, 2597, 31143 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 2788, 2597, 31143?

Answer: HCF of 2788, 2597, 31143 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2788, 2597, 31143 using Euclid's Algorithm?

Answer: For arbitrary numbers 2788, 2597, 31143 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.