Greatest Common Factor of 115/252, 299/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 115/252, 299/784

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 115/252,299/784

Given fractions are 115/252,299/784

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 115,299

Greatest Common Factor of Numerators i.e. GCF of 115,299 is 23 .

LCM of Denominators means LCM of 252,784 as per the given fractions.

LCM of 252,784 is 7056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 115,299

GCF of Fractions 115/252,299/784 is 23/7056

23 115, 299
5, 13

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 115,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,299 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 115,299 . The biggest common factor number is the GCF number.
So the greatest common factor 115,299 is 23.

Lets's calculate LCM of 252,784

2 252, 784
2 126, 392
7 63, 196
9, 28

∴ So the LCM of the given numbers is 2 x 2 x 7 x 9 x 28 = 7056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/7056

Therefore, the GCF of Fractions 115/252,299/784 is 23/7056

Least Common Multiple of 252,784 with GCF Formula

Least Common Multiple of 252,784 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 252,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,784) = 28

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

GCF(252,784) x common factors =28 x 1 = 28

LCM(252,784) = ( 252 × 784 ) / 28

LCM(252,784) = 197568 / 28

LCM(252,784) = 7056


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 115/252, 299/784

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 115/252, 299/784?

Answer: GCF of Numerators as per given numbers 115/252, 299/784 is

GCF of Numerators i.e. for 115,299 is 23

LCM of denominators i.e. for 252,784 is 7056.

Thus, GCF of Fractions is 23/7056.Finally, GCF of Fractions for 115/252, 299/784 is 23/7056.