Greatest Common Factor of 284/216, 7315/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 284/216, 7315/129

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 284/216,7315/129

Given fractions are 284/216,7315/129

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 284,7315

Greatest Common Factor of Numerators i.e. GCF of 284,7315 is 1 .

LCM of Denominators means LCM of 216,129 as per the given fractions.

LCM of 216,129 is 9288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 284,7315

GCF of Fractions 284/216,7315/129 is 1/9288

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 284,7315 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,7315 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 7315

List of positive integer factors of 7315 that divides 7315 without a remainder.

1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315

Greatest Common Factor

We found the factors 284,7315 . The biggest common factor number is the GCF number.
So the greatest common factor 284,7315 is 1.

Lets's calculate LCM of 216,129

3 216, 129
72, 43

∴ So the LCM of the given numbers is 3 x 72 x 43 = 9288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9288

Therefore, the GCF of Fractions 284/216,7315/129 is 1/9288

Least Common Multiple of 216,129 with GCF Formula

Least Common Multiple of 216,129 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 216,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,129) = 3

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

GCF(216,129) x common factors =3 x 1 = 3

LCM(216,129) = ( 216 × 129 ) / 3

LCM(216,129) = 27864 / 3

LCM(216,129) = 9288


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 284/216, 7315/129

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 284/216, 7315/129?

Answer: GCF of Numerators as per given numbers 284/216, 7315/129 is

GCF of Numerators i.e. for 284,7315 is 1

LCM of denominators i.e. for 216,129 is 9288.

Thus, GCF of Fractions is 1/9288.Finally, GCF of Fractions for 284/216, 7315/129 is 1/9288.