Highest Common Factor of 5174, 7071 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 5174, 7071 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5174, 7071 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 5174, 7071 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 5174, 7071 is 1.

HCF(5174, 7071) = 1

HCF of 5174, 7071 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 5174, 7071 is 1.

Highest Common Factor of 5174,7071 using Euclid's algorithm

Highest Common Factor of 5174,7071 is 1

Step 1: Since 7071 > 5174, we apply the division lemma to 7071 and 5174, to get

7071 = 5174 x 1 + 1897

Step 2: Since the reminder 5174 ≠ 0, we apply division lemma to 1897 and 5174, to get

5174 = 1897 x 2 + 1380

Step 3: We consider the new divisor 1897 and the new remainder 1380, and apply the division lemma to get

1897 = 1380 x 1 + 517

We consider the new divisor 1380 and the new remainder 517,and apply the division lemma to get

1380 = 517 x 2 + 346

We consider the new divisor 517 and the new remainder 346,and apply the division lemma to get

517 = 346 x 1 + 171

We consider the new divisor 346 and the new remainder 171,and apply the division lemma to get

346 = 171 x 2 + 4

We consider the new divisor 171 and the new remainder 4,and apply the division lemma to get

171 = 4 x 42 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 5174 and 7071 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(171,4) = HCF(346,171) = HCF(517,346) = HCF(1380,517) = HCF(1897,1380) = HCF(5174,1897) = HCF(7071,5174) .

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Frequently Asked Questions on HCF of 5174, 7071 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 5174, 7071?

Answer: HCF of 5174, 7071 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5174, 7071 using Euclid's Algorithm?

Answer: For arbitrary numbers 5174, 7071 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.