Highest Common Factor of 5073, 6491 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 5073, 6491 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5073, 6491 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 5073, 6491 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 5073, 6491 is 1.

HCF(5073, 6491) = 1

HCF of 5073, 6491 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 5073, 6491 is 1.

Highest Common Factor of 5073,6491 using Euclid's algorithm

Highest Common Factor of 5073,6491 is 1

Step 1: Since 6491 > 5073, we apply the division lemma to 6491 and 5073, to get

6491 = 5073 x 1 + 1418

Step 2: Since the reminder 5073 ≠ 0, we apply division lemma to 1418 and 5073, to get

5073 = 1418 x 3 + 819

Step 3: We consider the new divisor 1418 and the new remainder 819, and apply the division lemma to get

1418 = 819 x 1 + 599

We consider the new divisor 819 and the new remainder 599,and apply the division lemma to get

819 = 599 x 1 + 220

We consider the new divisor 599 and the new remainder 220,and apply the division lemma to get

599 = 220 x 2 + 159

We consider the new divisor 220 and the new remainder 159,and apply the division lemma to get

220 = 159 x 1 + 61

We consider the new divisor 159 and the new remainder 61,and apply the division lemma to get

159 = 61 x 2 + 37

We consider the new divisor 61 and the new remainder 37,and apply the division lemma to get

61 = 37 x 1 + 24

We consider the new divisor 37 and the new remainder 24,and apply the division lemma to get

37 = 24 x 1 + 13

We consider the new divisor 24 and the new remainder 13,and apply the division lemma to get

24 = 13 x 1 + 11

We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get

13 = 11 x 1 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 5073 and 6491 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(24,13) = HCF(37,24) = HCF(61,37) = HCF(159,61) = HCF(220,159) = HCF(599,220) = HCF(819,599) = HCF(1418,819) = HCF(5073,1418) = HCF(6491,5073) .

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Frequently Asked Questions on HCF of 5073, 6491 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 5073, 6491?

Answer: HCF of 5073, 6491 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5073, 6491 using Euclid's Algorithm?

Answer: For arbitrary numbers 5073, 6491 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.