Highest Common Factor of 894, 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 894, 539 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 894, 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 894, 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 894, 539 is 1.

HCF(894, 539) = 1

HCF of 894, 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 894, 539 is 1.

Highest Common Factor of 894,539 using Euclid's algorithm

Highest Common Factor of 894,539 is 1

Step 1: Since 894 > 539, we apply the division lemma to 894 and 539, to get

894 = 539 x 1 + 355

Step 2: Since the reminder 539 ≠ 0, we apply division lemma to 355 and 539, to get

539 = 355 x 1 + 184

Step 3: We consider the new divisor 355 and the new remainder 184, and apply the division lemma to get

355 = 184 x 1 + 171

We consider the new divisor 184 and the new remainder 171,and apply the division lemma to get

184 = 171 x 1 + 13

We consider the new divisor 171 and the new remainder 13,and apply the division lemma to get

171 = 13 x 13 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 894 and 539 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(171,13) = HCF(184,171) = HCF(355,184) = HCF(539,355) = HCF(894,539) .

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Frequently Asked Questions on HCF of 894, 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 894, 539?

Answer: HCF of 894, 539 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 894, 539 using Euclid's Algorithm?

Answer: For arbitrary numbers 894, 539 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.