Highest Common Factor of 540, 889 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 540, 889 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 540, 889 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 540, 889 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 540, 889 is 1.

HCF(540, 889) = 1

HCF of 540, 889 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 540, 889 is 1.

Highest Common Factor of 540,889 using Euclid's algorithm

Highest Common Factor of 540,889 is 1

Step 1: Since 889 > 540, we apply the division lemma to 889 and 540, to get

889 = 540 x 1 + 349

Step 2: Since the reminder 540 ≠ 0, we apply division lemma to 349 and 540, to get

540 = 349 x 1 + 191

Step 3: We consider the new divisor 349 and the new remainder 191, and apply the division lemma to get

349 = 191 x 1 + 158

We consider the new divisor 191 and the new remainder 158,and apply the division lemma to get

191 = 158 x 1 + 33

We consider the new divisor 158 and the new remainder 33,and apply the division lemma to get

158 = 33 x 4 + 26

We consider the new divisor 33 and the new remainder 26,and apply the division lemma to get

33 = 26 x 1 + 7

We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get

26 = 7 x 3 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 540 and 889 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(33,26) = HCF(158,33) = HCF(191,158) = HCF(349,191) = HCF(540,349) = HCF(889,540) .

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Frequently Asked Questions on HCF of 540, 889 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 540, 889?

Answer: HCF of 540, 889 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 540, 889 using Euclid's Algorithm?

Answer: For arbitrary numbers 540, 889 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.