Highest Common Factor of 3563, 4542 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 3563, 4542 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3563, 4542 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 3563, 4542 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 3563, 4542 is 1.

HCF(3563, 4542) = 1

HCF of 3563, 4542 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 3563, 4542 is 1.

Highest Common Factor of 3563,4542 using Euclid's algorithm

Highest Common Factor of 3563,4542 is 1

Step 1: Since 4542 > 3563, we apply the division lemma to 4542 and 3563, to get

4542 = 3563 x 1 + 979

Step 2: Since the reminder 3563 ≠ 0, we apply division lemma to 979 and 3563, to get

3563 = 979 x 3 + 626

Step 3: We consider the new divisor 979 and the new remainder 626, and apply the division lemma to get

979 = 626 x 1 + 353

We consider the new divisor 626 and the new remainder 353,and apply the division lemma to get

626 = 353 x 1 + 273

We consider the new divisor 353 and the new remainder 273,and apply the division lemma to get

353 = 273 x 1 + 80

We consider the new divisor 273 and the new remainder 80,and apply the division lemma to get

273 = 80 x 3 + 33

We consider the new divisor 80 and the new remainder 33,and apply the division lemma to get

80 = 33 x 2 + 14

We consider the new divisor 33 and the new remainder 14,and apply the division lemma to get

33 = 14 x 2 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3563 and 4542 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(33,14) = HCF(80,33) = HCF(273,80) = HCF(353,273) = HCF(626,353) = HCF(979,626) = HCF(3563,979) = HCF(4542,3563) .

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Frequently Asked Questions on HCF of 3563, 4542 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 3563, 4542?

Answer: HCF of 3563, 4542 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3563, 4542 using Euclid's Algorithm?

Answer: For arbitrary numbers 3563, 4542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.