Highest Common Factor of 457, 729, 759 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 457, 729, 759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 457, 729, 759 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 457, 729, 759 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 457, 729, 759 is 1.

HCF(457, 729, 759) = 1

HCF of 457, 729, 759 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 457, 729, 759 is 1.

Highest Common Factor of 457,729,759 using Euclid's algorithm

Highest Common Factor of 457,729,759 is 1

Step 1: Since 729 > 457, we apply the division lemma to 729 and 457, to get

729 = 457 x 1 + 272

Step 2: Since the reminder 457 ≠ 0, we apply division lemma to 272 and 457, to get

457 = 272 x 1 + 185

Step 3: We consider the new divisor 272 and the new remainder 185, and apply the division lemma to get

272 = 185 x 1 + 87

We consider the new divisor 185 and the new remainder 87,and apply the division lemma to get

185 = 87 x 2 + 11

We consider the new divisor 87 and the new remainder 11,and apply the division lemma to get

87 = 11 x 7 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 457 and 729 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(87,11) = HCF(185,87) = HCF(272,185) = HCF(457,272) = HCF(729,457) .

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

Step 1: Since 759 > 1, we apply the division lemma to 759 and 1, to get

759 = 1 x 759 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 759 is 1

Notice that 1 = HCF(759,1) .

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Frequently Asked Questions on HCF of 457, 729, 759 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 457, 729, 759?

Answer: HCF of 457, 729, 759 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 457, 729, 759 using Euclid's Algorithm?

Answer: For arbitrary numbers 457, 729, 759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.