Greatest Common Factor of 216/52, 1815/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 216/52, 1815/714

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 216/52,1815/714

Given fractions are 216/52,1815/714

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 216,1815

Greatest Common Factor of Numerators i.e. GCF of 216,1815 is 3 .

LCM of Denominators means LCM of 52,714 as per the given fractions.

LCM of 52,714 is 18564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 216,1815

GCF of Fractions 216/52,1815/714 is 3/18564

3 216, 1815
72, 605

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 216,1815 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,1815 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 1815

List of positive integer factors of 1815 that divides 1815 without a remainder.

1,3,5,11,15,33,55,121,165,363,605,1815

Greatest Common Factor

We found the factors 216,1815 . The biggest common factor number is the GCF number.
So the greatest common factor 216,1815 is 3.

Lets's calculate LCM of 52,714

2 52, 714
26, 357

∴ So the LCM of the given numbers is 2 x 26 x 357 = 18564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18564

Therefore, the GCF of Fractions 216/52,1815/714 is 3/18564

Least Common Multiple of 52,714 with GCF Formula

Least Common Multiple of 52,714 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 52,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,714) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(52,714) x common factors =2 x 1 = 2

LCM(52,714) = ( 52 × 714 ) / 2

LCM(52,714) = 37128 / 2

LCM(52,714) = 18564


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 216/52, 1815/714

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 216/52, 1815/714?

Answer: GCF of Numerators as per given numbers 216/52, 1815/714 is

GCF of Numerators i.e. for 216,1815 is 3

LCM of denominators i.e. for 52,714 is 18564.

Thus, GCF of Fractions is 3/18564.Finally, GCF of Fractions for 216/52, 1815/714 is 3/18564.