Highest Common Factor of 731, 413, 11 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 731, 413, 11 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 731, 413, 11 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 731, 413, 11 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 731, 413, 11 is 1.

HCF(731, 413, 11) = 1

HCF of 731, 413, 11 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 731, 413, 11 is 1.

Highest Common Factor of 731,413,11 using Euclid's algorithm

Highest Common Factor of 731,413,11 is 1

Step 1: Since 731 > 413, we apply the division lemma to 731 and 413, to get

731 = 413 x 1 + 318

Step 2: Since the reminder 413 ≠ 0, we apply division lemma to 318 and 413, to get

413 = 318 x 1 + 95

Step 3: We consider the new divisor 318 and the new remainder 95, and apply the division lemma to get

318 = 95 x 3 + 33

We consider the new divisor 95 and the new remainder 33,and apply the division lemma to get

95 = 33 x 2 + 29

We consider the new divisor 33 and the new remainder 29,and apply the division lemma to get

33 = 29 x 1 + 4

We consider the new divisor 29 and the new remainder 4,and apply the division lemma to get

29 = 4 x 7 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 731 and 413 is 1

Notice that 1 = HCF(4,1) = HCF(29,4) = HCF(33,29) = HCF(95,33) = HCF(318,95) = HCF(413,318) = HCF(731,413) .

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

Step 1: Since 11 > 1, we apply the division lemma to 11 and 1, to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11 is 1

Notice that 1 = HCF(11,1) .

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Frequently Asked Questions on HCF of 731, 413, 11 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 731, 413, 11?

Answer: HCF of 731, 413, 11 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 731, 413, 11 using Euclid's Algorithm?

Answer: For arbitrary numbers 731, 413, 11 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.