Highest Common Factor of 2519, 5996, 15695 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, 5996, 15695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2519, 5996, 15695 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, 5996, 15695 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, 5996, 15695 is 1.

HCF(2519, 5996, 15695) = 1

HCF of 2519, 5996, 15695 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, 5996, 15695 is 1.

Highest Common Factor of 2519,5996,15695 using Euclid's algorithm

Highest Common Factor of 2519,5996,15695 is 1

Step 1: Since 5996 > 2519, we apply the division lemma to 5996 and 2519, to get

5996 = 2519 x 2 + 958

Step 2: Since the reminder 2519 ≠ 0, we apply division lemma to 958 and 2519, to get

2519 = 958 x 2 + 603

Step 3: We consider the new divisor 958 and the new remainder 603, and apply the division lemma to get

958 = 603 x 1 + 355

We consider the new divisor 603 and the new remainder 355,and apply the division lemma to get

603 = 355 x 1 + 248

We consider the new divisor 355 and the new remainder 248,and apply the division lemma to get

355 = 248 x 1 + 107

We consider the new divisor 248 and the new remainder 107,and apply the division lemma to get

248 = 107 x 2 + 34

We consider the new divisor 107 and the new remainder 34,and apply the division lemma to get

107 = 34 x 3 + 5

We consider the new divisor 34 and the new remainder 5,and apply the division lemma to get

34 = 5 x 6 + 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 2519 and 5996 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(34,5) = HCF(107,34) = HCF(248,107) = HCF(355,248) = HCF(603,355) = HCF(958,603) = HCF(2519,958) = HCF(5996,2519) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 15695 > 1, we apply the division lemma to 15695 and 1, to get

15695 = 1 x 15695 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15695 is 1

Notice that 1 = HCF(15695,1) .

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Frequently Asked Questions on HCF of 2519, 5996, 15695 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, 5996, 15695?

Answer: HCF of 2519, 5996, 15695 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2519, 5996, 15695 using Euclid's Algorithm?

Answer: For arbitrary numbers 2519, 5996, 15695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.