Highest Common Factor of 3715, 5158 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 3715, 5158 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3715, 5158 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 3715, 5158 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 3715, 5158 is 1.

HCF(3715, 5158) = 1

HCF of 3715, 5158 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 3715, 5158 is 1.

Highest Common Factor of 3715,5158 using Euclid's algorithm

Highest Common Factor of 3715,5158 is 1

Step 1: Since 5158 > 3715, we apply the division lemma to 5158 and 3715, to get

5158 = 3715 x 1 + 1443

Step 2: Since the reminder 3715 ≠ 0, we apply division lemma to 1443 and 3715, to get

3715 = 1443 x 2 + 829

Step 3: We consider the new divisor 1443 and the new remainder 829, and apply the division lemma to get

1443 = 829 x 1 + 614

We consider the new divisor 829 and the new remainder 614,and apply the division lemma to get

829 = 614 x 1 + 215

We consider the new divisor 614 and the new remainder 215,and apply the division lemma to get

614 = 215 x 2 + 184

We consider the new divisor 215 and the new remainder 184,and apply the division lemma to get

215 = 184 x 1 + 31

We consider the new divisor 184 and the new remainder 31,and apply the division lemma to get

184 = 31 x 5 + 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 3715 and 5158 is 1

Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(31,29) = HCF(184,31) = HCF(215,184) = HCF(614,215) = HCF(829,614) = HCF(1443,829) = HCF(3715,1443) = HCF(5158,3715) .

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Frequently Asked Questions on HCF of 3715, 5158 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 3715, 5158?

Answer: HCF of 3715, 5158 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3715, 5158 using Euclid's Algorithm?

Answer: For arbitrary numbers 3715, 5158 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.