Highest Common Factor of 716, 566, 432 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, 566, 432 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 716, 566, 432 is 2 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, 566, 432 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, 566, 432 is 2.

HCF(716, 566, 432) = 2

HCF of 716, 566, 432 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, 566, 432 is 2.

Highest Common Factor of 716,566,432 using Euclid's algorithm

Highest Common Factor of 716,566,432 is 2

Step 1: Since 716 > 566, we apply the division lemma to 716 and 566, to get

716 = 566 x 1 + 150

Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 150 and 566, to get

566 = 150 x 3 + 116

Step 3: We consider the new divisor 150 and the new remainder 116, and apply the division lemma to get

150 = 116 x 1 + 34

We consider the new divisor 116 and the new remainder 34,and apply the division lemma to get

116 = 34 x 3 + 14

We consider the new divisor 34 and the new remainder 14,and apply the division lemma to get

34 = 14 x 2 + 6

We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get

14 = 6 x 2 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 716 and 566 is 2

Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(34,14) = HCF(116,34) = HCF(150,116) = HCF(566,150) = HCF(716,566) .

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

Step 1: Since 432 > 2, we apply the division lemma to 432 and 2, to get

432 = 2 x 216 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 432 is 2

Notice that 2 = HCF(432,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 716, 566, 432 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, 566, 432?

Answer: HCF of 716, 566, 432 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 716, 566, 432 using Euclid's Algorithm?

Answer: For arbitrary numbers 716, 566, 432 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.