Highest Common Factor of 391, 581, 316 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 391, 581, 316 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 391, 581, 316 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 391, 581, 316 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 391, 581, 316 is 1.

HCF(391, 581, 316) = 1

HCF of 391, 581, 316 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 391, 581, 316 is 1.

Highest Common Factor of 391,581,316 using Euclid's algorithm

Highest Common Factor of 391,581,316 is 1

Step 1: Since 581 > 391, we apply the division lemma to 581 and 391, to get

581 = 391 x 1 + 190

Step 2: Since the reminder 391 ≠ 0, we apply division lemma to 190 and 391, to get

391 = 190 x 2 + 11

Step 3: We consider the new divisor 190 and the new remainder 11, and apply the division lemma to get

190 = 11 x 17 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 391 and 581 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(190,11) = HCF(391,190) = HCF(581,391) .

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

Step 1: Since 316 > 1, we apply the division lemma to 316 and 1, to get

316 = 1 x 316 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 316 is 1

Notice that 1 = HCF(316,1) .

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Frequently Asked Questions on HCF of 391, 581, 316 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 391, 581, 316?

Answer: HCF of 391, 581, 316 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 391, 581, 316 using Euclid's Algorithm?

Answer: For arbitrary numbers 391, 581, 316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.