Highest Common Factor of 125, 464, 516 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 125, 464, 516 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 125, 464, 516 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 125, 464, 516 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 125, 464, 516 is 1.

HCF(125, 464, 516) = 1

HCF of 125, 464, 516 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 125, 464, 516 is 1.

Highest Common Factor of 125,464,516 using Euclid's algorithm

Highest Common Factor of 125,464,516 is 1

Step 1: Since 464 > 125, we apply the division lemma to 464 and 125, to get

464 = 125 x 3 + 89

Step 2: Since the reminder 125 ≠ 0, we apply division lemma to 89 and 125, to get

125 = 89 x 1 + 36

Step 3: We consider the new divisor 89 and the new remainder 36, and apply the division lemma to get

89 = 36 x 2 + 17

We consider the new divisor 36 and the new remainder 17,and apply the division lemma to get

36 = 17 x 2 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 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 125 and 464 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(36,17) = HCF(89,36) = HCF(125,89) = HCF(464,125) .

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

Step 1: Since 516 > 1, we apply the division lemma to 516 and 1, to get

516 = 1 x 516 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 516 is 1

Notice that 1 = HCF(516,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 125, 464, 516 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 125, 464, 516?

Answer: HCF of 125, 464, 516 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 125, 464, 516 using Euclid's Algorithm?

Answer: For arbitrary numbers 125, 464, 516 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.