Greatest Common Factor of 339/360, 4294/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 339/360, 4294/524

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 339/360,4294/524

Given fractions are 339/360,4294/524

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 339,4294

Greatest Common Factor of Numerators i.e. GCF of 339,4294 is 113 .

LCM of Denominators means LCM of 360,524 as per the given fractions.

LCM of 360,524 is 47160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 339,4294

GCF of Fractions 339/360,4294/524 is 113/47160

113 339, 4294
3, 38

∴ So the GCF of the given numbers is 113 = 113

Greatest Common Factor of 339,4294 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,4294 By Matching Biggest Common Factor Method

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 4294

List of positive integer factors of 4294 that divides 4294 without a remainder.

1,2,19,38,113,226,2147,4294

Greatest Common Factor

We found the factors 339,4294 . The biggest common factor number is the GCF number.
So the greatest common factor 339,4294 is 113.

Lets's calculate LCM of 360,524

2 360, 524
2 180, 262
90, 131

∴ So the LCM of the given numbers is 2 x 2 x 90 x 131 = 47160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 113/47160

Therefore, the GCF of Fractions 339/360,4294/524 is 113/47160

Least Common Multiple of 360,524 with GCF Formula

Least Common Multiple of 360,524 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 360,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,524) = 4

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

GCF(360,524) x common factors =4 x 1 = 4

LCM(360,524) = ( 360 × 524 ) / 4

LCM(360,524) = 188640 / 4

LCM(360,524) = 47160


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 339/360, 4294/524

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 339/360, 4294/524?

Answer: GCF of Numerators as per given numbers 339/360, 4294/524 is

GCF of Numerators i.e. for 339,4294 is 113

LCM of denominators i.e. for 360,524 is 47160.

Thus, GCF of Fractions is 113/47160.Finally, GCF of Fractions for 339/360, 4294/524 is 113/47160.