Greatest Common Factor of 118/713, 520/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 118/713, 520/459

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 118/713,520/459

Given fractions are 118/713,520/459

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 118,520

Greatest Common Factor of Numerators i.e. GCF of 118,520 is 2 .

LCM of Denominators means LCM of 713,459 as per the given fractions.

LCM of 713,459 is 327267 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 118,520

GCF of Fractions 118/713,520/459 is 2/327267

2 118, 520
59, 260

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 118,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,520 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 118,520 . The biggest common factor number is the GCF number.
So the greatest common factor 118,520 is 2.

Lets's calculate LCM of 713,459

Given numbers has no common factors except 1. So, there LCM is their product i.e 327267

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/327267

Therefore, the GCF of Fractions 118/713,520/459 is 2/327267

Least Common Multiple of 713,459 with GCF Formula

Least Common Multiple of 713,459 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 713,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,459) = 1

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

GCF(713,459) x common factors =1 x 1 = 1

LCM(713,459) = ( 713 × 459 ) / 1

LCM(713,459) = 327267 / 1

LCM(713,459) = 327267


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 118/713, 520/459

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 118/713, 520/459?

Answer: GCF of Numerators as per given numbers 118/713, 520/459 is

GCF of Numerators i.e. for 118,520 is 2

LCM of denominators i.e. for 713,459 is 327267.

Thus, GCF of Fractions is 2/327267.Finally, GCF of Fractions for 118/713, 520/459 is 2/327267.