Highest Common Factor of 716, 441, 581 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 716, 441, 581 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 716, 441, 581 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 716, 441, 581 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 716, 441, 581 is 1.

HCF(716, 441, 581) = 1

HCF of 716, 441, 581 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 716, 441, 581 is 1.

Highest Common Factor of 716,441,581 using Euclid's algorithm

Highest Common Factor of 716,441,581 is 1

Step 1: Since 716 > 441, we apply the division lemma to 716 and 441, to get

716 = 441 x 1 + 275

Step 2: Since the reminder 441 ≠ 0, we apply division lemma to 275 and 441, to get

441 = 275 x 1 + 166

Step 3: We consider the new divisor 275 and the new remainder 166, and apply the division lemma to get

275 = 166 x 1 + 109

We consider the new divisor 166 and the new remainder 109,and apply the division lemma to get

166 = 109 x 1 + 57

We consider the new divisor 109 and the new remainder 57,and apply the division lemma to get

109 = 57 x 1 + 52

We consider the new divisor 57 and the new remainder 52,and apply the division lemma to get

57 = 52 x 1 + 5

We consider the new divisor 52 and the new remainder 5,and apply the division lemma to get

52 = 5 x 10 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 716 and 441 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(52,5) = HCF(57,52) = HCF(109,57) = HCF(166,109) = HCF(275,166) = HCF(441,275) = HCF(716,441) .

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

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

581 = 1 x 581 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 581 is 1

Notice that 1 = HCF(581,1) .

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Frequently Asked Questions on HCF of 716, 441, 581 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 716, 441, 581?

Answer: HCF of 716, 441, 581 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 716, 441, 581 using Euclid's Algorithm?

Answer: For arbitrary numbers 716, 441, 581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.