Highest Common Factor of 539, 727 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, 727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 539, 727 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, 727 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, 727 is 1.

HCF(539, 727) = 1

HCF of 539, 727 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, 727 is 1.

Highest Common Factor of 539,727 using Euclid's algorithm

Highest Common Factor of 539,727 is 1

Step 1: Since 727 > 539, we apply the division lemma to 727 and 539, to get

727 = 539 x 1 + 188

Step 2: Since the reminder 539 ≠ 0, we apply division lemma to 188 and 539, to get

539 = 188 x 2 + 163

Step 3: We consider the new divisor 188 and the new remainder 163, and apply the division lemma to get

188 = 163 x 1 + 25

We consider the new divisor 163 and the new remainder 25,and apply the division lemma to get

163 = 25 x 6 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 539 and 727 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(163,25) = HCF(188,163) = HCF(539,188) = HCF(727,539) .

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Frequently Asked Questions on HCF of 539, 727 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, 727?

Answer: HCF of 539, 727 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 539, 727 using Euclid's Algorithm?

Answer: For arbitrary numbers 539, 727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.