Highest Common Factor of 2517, 7111 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 2517, 7111 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2517, 7111 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 2517, 7111 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 2517, 7111 is 1.

HCF(2517, 7111) = 1

HCF of 2517, 7111 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 2517, 7111 is 1.

Highest Common Factor of 2517,7111 using Euclid's algorithm

Highest Common Factor of 2517,7111 is 1

Step 1: Since 7111 > 2517, we apply the division lemma to 7111 and 2517, to get

7111 = 2517 x 2 + 2077

Step 2: Since the reminder 2517 ≠ 0, we apply division lemma to 2077 and 2517, to get

2517 = 2077 x 1 + 440

Step 3: We consider the new divisor 2077 and the new remainder 440, and apply the division lemma to get

2077 = 440 x 4 + 317

We consider the new divisor 440 and the new remainder 317,and apply the division lemma to get

440 = 317 x 1 + 123

We consider the new divisor 317 and the new remainder 123,and apply the division lemma to get

317 = 123 x 2 + 71

We consider the new divisor 123 and the new remainder 71,and apply the division lemma to get

123 = 71 x 1 + 52

We consider the new divisor 71 and the new remainder 52,and apply the division lemma to get

71 = 52 x 1 + 19

We consider the new divisor 52 and the new remainder 19,and apply the division lemma to get

52 = 19 x 2 + 14

We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get

19 = 14 x 1 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 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 2517 and 7111 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(52,19) = HCF(71,52) = HCF(123,71) = HCF(317,123) = HCF(440,317) = HCF(2077,440) = HCF(2517,2077) = HCF(7111,2517) .

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Frequently Asked Questions on HCF of 2517, 7111 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 2517, 7111?

Answer: HCF of 2517, 7111 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2517, 7111 using Euclid's Algorithm?

Answer: For arbitrary numbers 2517, 7111 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.