Highest Common Factor of 539, 725 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 539, 725 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 539, 725 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 539, 725 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 539, 725 is 1.

HCF(539, 725) = 1

HCF of 539, 725 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 539, 725 is 1.

Highest Common Factor of 539,725 using Euclid's algorithm

Highest Common Factor of 539,725 is 1

Step 1: Since 725 > 539, we apply the division lemma to 725 and 539, to get

725 = 539 x 1 + 186

Step 2: Since the reminder 539 ≠ 0, we apply division lemma to 186 and 539, to get

539 = 186 x 2 + 167

Step 3: We consider the new divisor 186 and the new remainder 167, and apply the division lemma to get

186 = 167 x 1 + 19

We consider the new divisor 167 and the new remainder 19,and apply the division lemma to get

167 = 19 x 8 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 539 and 725 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(167,19) = HCF(186,167) = HCF(539,186) = HCF(725,539) .

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Frequently Asked Questions on HCF of 539, 725 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 539, 725?

Answer: HCF of 539, 725 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 539, 725 using Euclid's Algorithm?

Answer: For arbitrary numbers 539, 725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.