Highest Common Factor of 2519, 3482 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 2519, 3482 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2519, 3482 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 2519, 3482 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 2519, 3482 is 1.

HCF(2519, 3482) = 1

HCF of 2519, 3482 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 2519, 3482 is 1.

Highest Common Factor of 2519,3482 using Euclid's algorithm

Highest Common Factor of 2519,3482 is 1

Step 1: Since 3482 > 2519, we apply the division lemma to 3482 and 2519, to get

3482 = 2519 x 1 + 963

Step 2: Since the reminder 2519 ≠ 0, we apply division lemma to 963 and 2519, to get

2519 = 963 x 2 + 593

Step 3: We consider the new divisor 963 and the new remainder 593, and apply the division lemma to get

963 = 593 x 1 + 370

We consider the new divisor 593 and the new remainder 370,and apply the division lemma to get

593 = 370 x 1 + 223

We consider the new divisor 370 and the new remainder 223,and apply the division lemma to get

370 = 223 x 1 + 147

We consider the new divisor 223 and the new remainder 147,and apply the division lemma to get

223 = 147 x 1 + 76

We consider the new divisor 147 and the new remainder 76,and apply the division lemma to get

147 = 76 x 1 + 71

We consider the new divisor 76 and the new remainder 71,and apply the division lemma to get

76 = 71 x 1 + 5

We consider the new divisor 71 and the new remainder 5,and apply the division lemma to get

71 = 5 x 14 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2519 and 3482 is 1

Notice that 1 = HCF(5,1) = HCF(71,5) = HCF(76,71) = HCF(147,76) = HCF(223,147) = HCF(370,223) = HCF(593,370) = HCF(963,593) = HCF(2519,963) = HCF(3482,2519) .

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Frequently Asked Questions on HCF of 2519, 3482 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 2519, 3482?

Answer: HCF of 2519, 3482 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2519, 3482 using Euclid's Algorithm?

Answer: For arbitrary numbers 2519, 3482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.