Highest Common Factor of 5682, 3113 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 5682, 3113 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5682, 3113 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 5682, 3113 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 5682, 3113 is 1.

HCF(5682, 3113) = 1

HCF of 5682, 3113 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 5682, 3113 is 1.

Highest Common Factor of 5682,3113 using Euclid's algorithm

Highest Common Factor of 5682,3113 is 1

Step 1: Since 5682 > 3113, we apply the division lemma to 5682 and 3113, to get

5682 = 3113 x 1 + 2569

Step 2: Since the reminder 3113 ≠ 0, we apply division lemma to 2569 and 3113, to get

3113 = 2569 x 1 + 544

Step 3: We consider the new divisor 2569 and the new remainder 544, and apply the division lemma to get

2569 = 544 x 4 + 393

We consider the new divisor 544 and the new remainder 393,and apply the division lemma to get

544 = 393 x 1 + 151

We consider the new divisor 393 and the new remainder 151,and apply the division lemma to get

393 = 151 x 2 + 91

We consider the new divisor 151 and the new remainder 91,and apply the division lemma to get

151 = 91 x 1 + 60

We consider the new divisor 91 and the new remainder 60,and apply the division lemma to get

91 = 60 x 1 + 31

We consider the new divisor 60 and the new remainder 31,and apply the division lemma to get

60 = 31 x 1 + 29

We consider the new divisor 31 and the new remainder 29,and apply the division lemma to get

31 = 29 x 1 + 2

We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get

29 = 2 x 14 + 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 5682 and 3113 is 1

Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(31,29) = HCF(60,31) = HCF(91,60) = HCF(151,91) = HCF(393,151) = HCF(544,393) = HCF(2569,544) = HCF(3113,2569) = HCF(5682,3113) .

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Frequently Asked Questions on HCF of 5682, 3113 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 5682, 3113?

Answer: HCF of 5682, 3113 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5682, 3113 using Euclid's Algorithm?

Answer: For arbitrary numbers 5682, 3113 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.