Highest Common Factor of 491, 568, 422 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 491, 568, 422 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 491, 568, 422 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 491, 568, 422 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 491, 568, 422 is 1.

HCF(491, 568, 422) = 1

HCF of 491, 568, 422 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 491, 568, 422 is 1.

Highest Common Factor of 491,568,422 using Euclid's algorithm

Highest Common Factor of 491,568,422 is 1

Step 1: Since 568 > 491, we apply the division lemma to 568 and 491, to get

568 = 491 x 1 + 77

Step 2: Since the reminder 491 ≠ 0, we apply division lemma to 77 and 491, to get

491 = 77 x 6 + 29

Step 3: We consider the new divisor 77 and the new remainder 29, and apply the division lemma to get

77 = 29 x 2 + 19

We consider the new divisor 29 and the new remainder 19,and apply the division lemma to get

29 = 19 x 1 + 10

We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get

19 = 10 x 1 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 491 and 568 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(29,19) = HCF(77,29) = HCF(491,77) = HCF(568,491) .

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

Step 1: Since 422 > 1, we apply the division lemma to 422 and 1, to get

422 = 1 x 422 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 422 is 1

Notice that 1 = HCF(422,1) .

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Frequently Asked Questions on HCF of 491, 568, 422 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 491, 568, 422?

Answer: HCF of 491, 568, 422 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 491, 568, 422 using Euclid's Algorithm?

Answer: For arbitrary numbers 491, 568, 422 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.