Highest Common Factor of 5415, 3241, 27819 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 5415, 3241, 27819 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5415, 3241, 27819 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 5415, 3241, 27819 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 5415, 3241, 27819 is 1.

HCF(5415, 3241, 27819) = 1

HCF of 5415, 3241, 27819 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 5415, 3241, 27819 is 1.

Highest Common Factor of 5415,3241,27819 using Euclid's algorithm

Highest Common Factor of 5415,3241,27819 is 1

Step 1: Since 5415 > 3241, we apply the division lemma to 5415 and 3241, to get

5415 = 3241 x 1 + 2174

Step 2: Since the reminder 3241 ≠ 0, we apply division lemma to 2174 and 3241, to get

3241 = 2174 x 1 + 1067

Step 3: We consider the new divisor 2174 and the new remainder 1067, and apply the division lemma to get

2174 = 1067 x 2 + 40

We consider the new divisor 1067 and the new remainder 40,and apply the division lemma to get

1067 = 40 x 26 + 27

We consider the new divisor 40 and the new remainder 27,and apply the division lemma to get

40 = 27 x 1 + 13

We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get

27 = 13 x 2 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5415 and 3241 is 1

Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(40,27) = HCF(1067,40) = HCF(2174,1067) = HCF(3241,2174) = HCF(5415,3241) .

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

Step 1: Since 27819 > 1, we apply the division lemma to 27819 and 1, to get

27819 = 1 x 27819 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 27819 is 1

Notice that 1 = HCF(27819,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 5415, 3241, 27819 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 5415, 3241, 27819?

Answer: HCF of 5415, 3241, 27819 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5415, 3241, 27819 using Euclid's Algorithm?

Answer: For arbitrary numbers 5415, 3241, 27819 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.