Highest Common Factor of 901, 519, 491 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 901, 519, 491 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 901, 519, 491 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 901, 519, 491 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 901, 519, 491 is 1.

HCF(901, 519, 491) = 1

HCF of 901, 519, 491 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 901, 519, 491 is 1.

Highest Common Factor of 901,519,491 using Euclid's algorithm

Highest Common Factor of 901,519,491 is 1

Step 1: Since 901 > 519, we apply the division lemma to 901 and 519, to get

901 = 519 x 1 + 382

Step 2: Since the reminder 519 ≠ 0, we apply division lemma to 382 and 519, to get

519 = 382 x 1 + 137

Step 3: We consider the new divisor 382 and the new remainder 137, and apply the division lemma to get

382 = 137 x 2 + 108

We consider the new divisor 137 and the new remainder 108,and apply the division lemma to get

137 = 108 x 1 + 29

We consider the new divisor 108 and the new remainder 29,and apply the division lemma to get

108 = 29 x 3 + 21

We consider the new divisor 29 and the new remainder 21,and apply the division lemma to get

29 = 21 x 1 + 8

We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get

21 = 8 x 2 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 901 and 519 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(29,21) = HCF(108,29) = HCF(137,108) = HCF(382,137) = HCF(519,382) = HCF(901,519) .

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

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

491 = 1 x 491 + 0

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

Notice that 1 = HCF(491,1) .

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Frequently Asked Questions on HCF of 901, 519, 491 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 901, 519, 491?

Answer: HCF of 901, 519, 491 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 901, 519, 491 using Euclid's Algorithm?

Answer: For arbitrary numbers 901, 519, 491 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.