Highest Common Factor of 2718, 6015, 55396 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 2718, 6015, 55396 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2718, 6015, 55396 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 2718, 6015, 55396 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 2718, 6015, 55396 is 1.

HCF(2718, 6015, 55396) = 1

HCF of 2718, 6015, 55396 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 2718, 6015, 55396 is 1.

Highest Common Factor of 2718,6015,55396 using Euclid's algorithm

Highest Common Factor of 2718,6015,55396 is 1

Step 1: Since 6015 > 2718, we apply the division lemma to 6015 and 2718, to get

6015 = 2718 x 2 + 579

Step 2: Since the reminder 2718 ≠ 0, we apply division lemma to 579 and 2718, to get

2718 = 579 x 4 + 402

Step 3: We consider the new divisor 579 and the new remainder 402, and apply the division lemma to get

579 = 402 x 1 + 177

We consider the new divisor 402 and the new remainder 177,and apply the division lemma to get

402 = 177 x 2 + 48

We consider the new divisor 177 and the new remainder 48,and apply the division lemma to get

177 = 48 x 3 + 33

We consider the new divisor 48 and the new remainder 33,and apply the division lemma to get

48 = 33 x 1 + 15

We consider the new divisor 33 and the new remainder 15,and apply the division lemma to get

33 = 15 x 2 + 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 2718 and 6015 is 3

Notice that 3 = HCF(15,3) = HCF(33,15) = HCF(48,33) = HCF(177,48) = HCF(402,177) = HCF(579,402) = HCF(2718,579) = HCF(6015,2718) .

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

Step 1: Since 55396 > 3, we apply the division lemma to 55396 and 3, to get

55396 = 3 x 18465 + 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 55396 is 1

Notice that 1 = HCF(3,1) = HCF(55396,3) .

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Frequently Asked Questions on HCF of 2718, 6015, 55396 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 2718, 6015, 55396?

Answer: HCF of 2718, 6015, 55396 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2718, 6015, 55396 using Euclid's Algorithm?

Answer: For arbitrary numbers 2718, 6015, 55396 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.