Highest Common Factor of 365, 964, 539 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 365, 964, 539 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 365, 964, 539 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 365, 964, 539 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 365, 964, 539 is 1.

HCF(365, 964, 539) = 1

HCF of 365, 964, 539 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 365, 964, 539 is 1.

Highest Common Factor of 365,964,539 using Euclid's algorithm

Highest Common Factor of 365,964,539 is 1

Step 1: Since 964 > 365, we apply the division lemma to 964 and 365, to get

964 = 365 x 2 + 234

Step 2: Since the reminder 365 ≠ 0, we apply division lemma to 234 and 365, to get

365 = 234 x 1 + 131

Step 3: We consider the new divisor 234 and the new remainder 131, and apply the division lemma to get

234 = 131 x 1 + 103

We consider the new divisor 131 and the new remainder 103,and apply the division lemma to get

131 = 103 x 1 + 28

We consider the new divisor 103 and the new remainder 28,and apply the division lemma to get

103 = 28 x 3 + 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 365 and 964 is 1

Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(103,28) = HCF(131,103) = HCF(234,131) = HCF(365,234) = HCF(964,365) .

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

Step 1: Since 539 > 1, we apply the division lemma to 539 and 1, to get

539 = 1 x 539 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 539 is 1

Notice that 1 = HCF(539,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 365, 964, 539 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 365, 964, 539?

Answer: HCF of 365, 964, 539 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 365, 964, 539 using Euclid's Algorithm?

Answer: For arbitrary numbers 365, 964, 539 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.