Greatest Common Factor of 42/458, 7306/2112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/458, 7306/2112

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 42/458,7306/2112

Given fractions are 42/458,7306/2112

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 42,7306

Greatest Common Factor of Numerators i.e. GCF of 42,7306 is 2 .

LCM of Denominators means LCM of 458,2112 as per the given fractions.

LCM of 458,2112 is 483648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,7306

GCF of Fractions 42/458,7306/2112 is 2/483648

2 42, 7306
21, 3653

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

Greatest Common Factor of 42,7306 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,7306 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 7306

List of positive integer factors of 7306 that divides 7306 without a remainder.

1,2,13,26,281,562,3653,7306

Greatest Common Factor

We found the factors 42,7306 . The biggest common factor number is the GCF number.
So the greatest common factor 42,7306 is 2.

Lets's calculate LCM of 458,2112

2 458, 2112
229, 1056

∴ So the LCM of the given numbers is 2 x 229 x 1056 = 483648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/483648

Therefore, the GCF of Fractions 42/458,7306/2112 is 2/483648

Least Common Multiple of 458,2112 with GCF Formula

Least Common Multiple of 458,2112 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 458,2112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,2112) = 2

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

GCF(458,2112) x common factors =2 x 1 = 2

LCM(458,2112) = ( 458 × 2112 ) / 2

LCM(458,2112) = 967296 / 2

LCM(458,2112) = 483648


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 42/458, 7306/2112

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 42/458, 7306/2112?

Answer: GCF of Numerators as per given numbers 42/458, 7306/2112 is

GCF of Numerators i.e. for 42,7306 is 2

LCM of denominators i.e. for 458,2112 is 483648.

Thus, GCF of Fractions is 2/483648.Finally, GCF of Fractions for 42/458, 7306/2112 is 2/483648.