Greatest Common Factor of 238/46, 112/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/46, 112/424

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 238/46,112/424

Given fractions are 238/46,112/424

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 238,112

Greatest Common Factor of Numerators i.e. GCF of 238,112 is 14 .

LCM of Denominators means LCM of 46,424 as per the given fractions.

LCM of 46,424 is 9752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,112

GCF of Fractions 238/46,112/424 is 14/9752

2 238, 112
7 119, 56
17, 8

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 238,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,112 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 238,112 . The biggest common factor number is the GCF number.
So the greatest common factor 238,112 is 14.

Lets's calculate LCM of 46,424

2 46, 424
23, 212

∴ So the LCM of the given numbers is 2 x 23 x 212 = 9752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/9752

Therefore, the GCF of Fractions 238/46,112/424 is 14/9752

Least Common Multiple of 46,424 with GCF Formula

Least Common Multiple of 46,424 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 46,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,424) = 2

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

GCF(46,424) x common factors =2 x 1 = 2

LCM(46,424) = ( 46 × 424 ) / 2

LCM(46,424) = 19504 / 2

LCM(46,424) = 9752


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 238/46, 112/424

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 238/46, 112/424?

Answer: GCF of Numerators as per given numbers 238/46, 112/424 is

GCF of Numerators i.e. for 238,112 is 14

LCM of denominators i.e. for 46,424 is 9752.

Thus, GCF of Fractions is 14/9752.Finally, GCF of Fractions for 238/46, 112/424 is 14/9752.