Highest Common Factor of 5337, 3000, 13855 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 5337, 3000, 13855 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5337, 3000, 13855 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 5337, 3000, 13855 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 5337, 3000, 13855 is 1.

HCF(5337, 3000, 13855) = 1

HCF of 5337, 3000, 13855 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 5337, 3000, 13855 is 1.

Highest Common Factor of 5337,3000,13855 using Euclid's algorithm

Highest Common Factor of 5337,3000,13855 is 1

Step 1: Since 5337 > 3000, we apply the division lemma to 5337 and 3000, to get

5337 = 3000 x 1 + 2337

Step 2: Since the reminder 3000 ≠ 0, we apply division lemma to 2337 and 3000, to get

3000 = 2337 x 1 + 663

Step 3: We consider the new divisor 2337 and the new remainder 663, and apply the division lemma to get

2337 = 663 x 3 + 348

We consider the new divisor 663 and the new remainder 348,and apply the division lemma to get

663 = 348 x 1 + 315

We consider the new divisor 348 and the new remainder 315,and apply the division lemma to get

348 = 315 x 1 + 33

We consider the new divisor 315 and the new remainder 33,and apply the division lemma to get

315 = 33 x 9 + 18

We consider the new divisor 33 and the new remainder 18,and apply the division lemma to get

33 = 18 x 1 + 15

We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get

18 = 15 x 1 + 3

We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get

15 = 3 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5337 and 3000 is 3

Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(33,18) = HCF(315,33) = HCF(348,315) = HCF(663,348) = HCF(2337,663) = HCF(3000,2337) = HCF(5337,3000) .

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

Step 1: Since 13855 > 3, we apply the division lemma to 13855 and 3, to get

13855 = 3 x 4618 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 13855 is 1

Notice that 1 = HCF(3,1) = HCF(13855,3) .

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Frequently Asked Questions on HCF of 5337, 3000, 13855 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 5337, 3000, 13855?

Answer: HCF of 5337, 3000, 13855 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5337, 3000, 13855 using Euclid's Algorithm?

Answer: For arbitrary numbers 5337, 3000, 13855 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.