Highest Common Factor of 2017, 5681 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 2017, 5681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2017, 5681 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 2017, 5681 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 2017, 5681 is 1.

HCF(2017, 5681) = 1

HCF of 2017, 5681 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 2017, 5681 is 1.

Highest Common Factor of 2017,5681 using Euclid's algorithm

Highest Common Factor of 2017,5681 is 1

Step 1: Since 5681 > 2017, we apply the division lemma to 5681 and 2017, to get

5681 = 2017 x 2 + 1647

Step 2: Since the reminder 2017 ≠ 0, we apply division lemma to 1647 and 2017, to get

2017 = 1647 x 1 + 370

Step 3: We consider the new divisor 1647 and the new remainder 370, and apply the division lemma to get

1647 = 370 x 4 + 167

We consider the new divisor 370 and the new remainder 167,and apply the division lemma to get

370 = 167 x 2 + 36

We consider the new divisor 167 and the new remainder 36,and apply the division lemma to get

167 = 36 x 4 + 23

We consider the new divisor 36 and the new remainder 23,and apply the division lemma to get

36 = 23 x 1 + 13

We consider the new divisor 23 and the new remainder 13,and apply the division lemma to get

23 = 13 x 1 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 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 2017 and 5681 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(36,23) = HCF(167,36) = HCF(370,167) = HCF(1647,370) = HCF(2017,1647) = HCF(5681,2017) .

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Frequently Asked Questions on HCF of 2017, 5681 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 2017, 5681?

Answer: HCF of 2017, 5681 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2017, 5681 using Euclid's Algorithm?

Answer: For arbitrary numbers 2017, 5681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.