Highest Common Factor of 3544, 5439 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 3544, 5439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3544, 5439 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 3544, 5439 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 3544, 5439 is 1.

HCF(3544, 5439) = 1

HCF of 3544, 5439 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 3544, 5439 is 1.

Highest Common Factor of 3544,5439 using Euclid's algorithm

Highest Common Factor of 3544,5439 is 1

Step 1: Since 5439 > 3544, we apply the division lemma to 5439 and 3544, to get

5439 = 3544 x 1 + 1895

Step 2: Since the reminder 3544 ≠ 0, we apply division lemma to 1895 and 3544, to get

3544 = 1895 x 1 + 1649

Step 3: We consider the new divisor 1895 and the new remainder 1649, and apply the division lemma to get

1895 = 1649 x 1 + 246

We consider the new divisor 1649 and the new remainder 246,and apply the division lemma to get

1649 = 246 x 6 + 173

We consider the new divisor 246 and the new remainder 173,and apply the division lemma to get

246 = 173 x 1 + 73

We consider the new divisor 173 and the new remainder 73,and apply the division lemma to get

173 = 73 x 2 + 27

We consider the new divisor 73 and the new remainder 27,and apply the division lemma to get

73 = 27 x 2 + 19

We consider the new divisor 27 and the new remainder 19,and apply the division lemma to get

27 = 19 x 1 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3544 and 5439 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(27,19) = HCF(73,27) = HCF(173,73) = HCF(246,173) = HCF(1649,246) = HCF(1895,1649) = HCF(3544,1895) = HCF(5439,3544) .

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Frequently Asked Questions on HCF of 3544, 5439 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 3544, 5439?

Answer: HCF of 3544, 5439 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3544, 5439 using Euclid's Algorithm?

Answer: For arbitrary numbers 3544, 5439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.