Highest Common Factor of 539, 145, 527 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, 145, 527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 539, 145, 527 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, 145, 527 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, 145, 527 is 1.

HCF(539, 145, 527) = 1

HCF of 539, 145, 527 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, 145, 527 is 1.

Highest Common Factor of 539,145,527 using Euclid's algorithm

Highest Common Factor of 539,145,527 is 1

Step 1: Since 539 > 145, we apply the division lemma to 539 and 145, to get

539 = 145 x 3 + 104

Step 2: Since the reminder 145 ≠ 0, we apply division lemma to 104 and 145, to get

145 = 104 x 1 + 41

Step 3: We consider the new divisor 104 and the new remainder 41, and apply the division lemma to get

104 = 41 x 2 + 22

We consider the new divisor 41 and the new remainder 22,and apply the division lemma to get

41 = 22 x 1 + 19

We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get

22 = 19 x 1 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 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 145 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(41,22) = HCF(104,41) = HCF(145,104) = HCF(539,145) .

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

Step 1: Since 527 > 1, we apply the division lemma to 527 and 1, to get

527 = 1 x 527 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 527 is 1

Notice that 1 = HCF(527,1) .

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Frequently Asked Questions on HCF of 539, 145, 527 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, 145, 527?

Answer: HCF of 539, 145, 527 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 539, 145, 527 using Euclid's Algorithm?

Answer: For arbitrary numbers 539, 145, 527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.