Highest Common Factor of 5055, 2495, 26513 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 5055, 2495, 26513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5055, 2495, 26513 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 5055, 2495, 26513 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 5055, 2495, 26513 is 1.

HCF(5055, 2495, 26513) = 1

HCF of 5055, 2495, 26513 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 5055, 2495, 26513 is 1.

Highest Common Factor of 5055,2495,26513 using Euclid's algorithm

Highest Common Factor of 5055,2495,26513 is 1

Step 1: Since 5055 > 2495, we apply the division lemma to 5055 and 2495, to get

5055 = 2495 x 2 + 65

Step 2: Since the reminder 2495 ≠ 0, we apply division lemma to 65 and 2495, to get

2495 = 65 x 38 + 25

Step 3: We consider the new divisor 65 and the new remainder 25, and apply the division lemma to get

65 = 25 x 2 + 15

We consider the new divisor 25 and the new remainder 15,and apply the division lemma to get

25 = 15 x 1 + 10

We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get

15 = 10 x 1 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5055 and 2495 is 5

Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(65,25) = HCF(2495,65) = HCF(5055,2495) .

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

Step 1: Since 26513 > 5, we apply the division lemma to 26513 and 5, to get

26513 = 5 x 5302 + 3

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get

5 = 3 x 1 + 2

Step 3: 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 5 and 26513 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(26513,5) .

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Frequently Asked Questions on HCF of 5055, 2495, 26513 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 5055, 2495, 26513?

Answer: HCF of 5055, 2495, 26513 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5055, 2495, 26513 using Euclid's Algorithm?

Answer: For arbitrary numbers 5055, 2495, 26513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.