Greatest Common Factor of 5042/207, 4610/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5042/207, 4610/456

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 5042/207,4610/456

Given fractions are 5042/207,4610/456

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 5042,4610

Greatest Common Factor of Numerators i.e. GCF of 5042,4610 is 2 .

LCM of Denominators means LCM of 207,456 as per the given fractions.

LCM of 207,456 is 31464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5042,4610

GCF of Fractions 5042/207,4610/456 is 2/31464

2 5042, 4610
2521, 2305

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

Greatest Common Factor of 5042,4610 By Matching Biggest Common Factor Method

Greatest Common Factor of 5042,4610 By Matching Biggest Common Factor Method

Factors of 5042

List of positive integer factors of 5042 that divides 5042 without a remainder.

1,2,2521,5042

Factors of 4610

List of positive integer factors of 4610 that divides 4610 without a remainder.

1,2,5,10,461,922,2305,4610

Greatest Common Factor

We found the factors 5042,4610 . The biggest common factor number is the GCF number.
So the greatest common factor 5042,4610 is 2.

Lets's calculate LCM of 207,456

3 207, 456
69, 152

∴ So the LCM of the given numbers is 3 x 69 x 152 = 31464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31464

Therefore, the GCF of Fractions 5042/207,4610/456 is 2/31464

Least Common Multiple of 207,456 with GCF Formula

Least Common Multiple of 207,456 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 207,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,456) = 3

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

GCF(207,456) x common factors =3 x 1 = 3

LCM(207,456) = ( 207 × 456 ) / 3

LCM(207,456) = 94392 / 3

LCM(207,456) = 31464


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 5042/207, 4610/456

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 5042/207, 4610/456?

Answer: GCF of Numerators as per given numbers 5042/207, 4610/456 is

GCF of Numerators i.e. for 5042,4610 is 2

LCM of denominators i.e. for 207,456 is 31464.

Thus, GCF of Fractions is 2/31464.Finally, GCF of Fractions for 5042/207, 4610/456 is 2/31464.