Highest Common Factor of 751, 460, 581, 116 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 751, 460, 581, 116 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 751, 460, 581, 116 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 751, 460, 581, 116 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 751, 460, 581, 116 is 1.

HCF(751, 460, 581, 116) = 1

HCF of 751, 460, 581, 116 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 751, 460, 581, 116 is 1.

Highest Common Factor of 751,460,581,116 using Euclid's algorithm

Highest Common Factor of 751,460,581,116 is 1

Step 1: Since 751 > 460, we apply the division lemma to 751 and 460, to get

751 = 460 x 1 + 291

Step 2: Since the reminder 460 ≠ 0, we apply division lemma to 291 and 460, to get

460 = 291 x 1 + 169

Step 3: We consider the new divisor 291 and the new remainder 169, and apply the division lemma to get

291 = 169 x 1 + 122

We consider the new divisor 169 and the new remainder 122,and apply the division lemma to get

169 = 122 x 1 + 47

We consider the new divisor 122 and the new remainder 47,and apply the division lemma to get

122 = 47 x 2 + 28

We consider the new divisor 47 and the new remainder 28,and apply the division lemma to get

47 = 28 x 1 + 19

We consider the new divisor 28 and the new remainder 19,and apply the division lemma to get

28 = 19 x 1 + 9

We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get

19 = 9 x 2 + 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 751 and 460 is 1

Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(47,28) = HCF(122,47) = HCF(169,122) = HCF(291,169) = HCF(460,291) = HCF(751,460) .

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) .

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

Step 1: Since 116 > 1, we apply the division lemma to 116 and 1, to get

116 = 1 x 116 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 116 is 1

Notice that 1 = HCF(116,1) .

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Frequently Asked Questions on HCF of 751, 460, 581, 116 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 751, 460, 581, 116?

Answer: HCF of 751, 460, 581, 116 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 751, 460, 581, 116 using Euclid's Algorithm?

Answer: For arbitrary numbers 751, 460, 581, 116 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.