Highest Common Factor of 2563, 3519 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 2563, 3519 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2563, 3519 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 2563, 3519 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 2563, 3519 is 1.

HCF(2563, 3519) = 1

HCF of 2563, 3519 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 2563, 3519 is 1.

Highest Common Factor of 2563,3519 using Euclid's algorithm

Highest Common Factor of 2563,3519 is 1

Step 1: Since 3519 > 2563, we apply the division lemma to 3519 and 2563, to get

3519 = 2563 x 1 + 956

Step 2: Since the reminder 2563 ≠ 0, we apply division lemma to 956 and 2563, to get

2563 = 956 x 2 + 651

Step 3: We consider the new divisor 956 and the new remainder 651, and apply the division lemma to get

956 = 651 x 1 + 305

We consider the new divisor 651 and the new remainder 305,and apply the division lemma to get

651 = 305 x 2 + 41

We consider the new divisor 305 and the new remainder 41,and apply the division lemma to get

305 = 41 x 7 + 18

We consider the new divisor 41 and the new remainder 18,and apply the division lemma to get

41 = 18 x 2 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 2563 and 3519 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(41,18) = HCF(305,41) = HCF(651,305) = HCF(956,651) = HCF(2563,956) = HCF(3519,2563) .

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Frequently Asked Questions on HCF of 2563, 3519 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 2563, 3519?

Answer: HCF of 2563, 3519 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2563, 3519 using Euclid's Algorithm?

Answer: For arbitrary numbers 2563, 3519 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.