Highest Common Factor of 404, 637, 586 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 404, 637, 586 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 404, 637, 586 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 404, 637, 586 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 404, 637, 586 is 1.

HCF(404, 637, 586) = 1

HCF of 404, 637, 586 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 404, 637, 586 is 1.

Highest Common Factor of 404,637,586 using Euclid's algorithm

Highest Common Factor of 404,637,586 is 1

Step 1: Since 637 > 404, we apply the division lemma to 637 and 404, to get

637 = 404 x 1 + 233

Step 2: Since the reminder 404 ≠ 0, we apply division lemma to 233 and 404, to get

404 = 233 x 1 + 171

Step 3: We consider the new divisor 233 and the new remainder 171, and apply the division lemma to get

233 = 171 x 1 + 62

We consider the new divisor 171 and the new remainder 62,and apply the division lemma to get

171 = 62 x 2 + 47

We consider the new divisor 62 and the new remainder 47,and apply the division lemma to get

62 = 47 x 1 + 15

We consider the new divisor 47 and the new remainder 15,and apply the division lemma to get

47 = 15 x 3 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 404 and 637 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(47,15) = HCF(62,47) = HCF(171,62) = HCF(233,171) = HCF(404,233) = HCF(637,404) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 586 > 1, we apply the division lemma to 586 and 1, to get

586 = 1 x 586 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 586 is 1

Notice that 1 = HCF(586,1) .

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Frequently Asked Questions on HCF of 404, 637, 586 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 404, 637, 586?

Answer: HCF of 404, 637, 586 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 404, 637, 586 using Euclid's Algorithm?

Answer: For arbitrary numbers 404, 637, 586 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.