Greatest Common Factor of 318/13, 438/98, 232/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 318/13, 438/98, 232/634

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 318/13,438/98,232/634

Given fractions are 318/13,438/98,232/634

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 318,438,232

Greatest Common Factor of Numerators i.e. GCF of 318,438,232 is 2 .

LCM of Denominators means LCM of 13,98,634 as per the given fractions.

LCM of 13,98,634 is 403858 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 318,438,232

GCF of Fractions 318/13,438/98,232/634 is 2/403858

2 318, 438, 232
159, 219, 116

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

Greatest Common Factor of 318,438,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,438,232 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 318,438,232 . The biggest common factor number is the GCF number.
So the greatest common factor 318,438,232 is 2.

Lets's calculate LCM of 13,98,634

2 13, 98, 634
13, 49, 317

∴ So the LCM of the given numbers is 2 x 13 x 49 x 317 = 403858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/403858

Therefore, the GCF of Fractions 318/13,438/98,232/634 is 2/403858

Least Common Multiple of 13,98,634 with GCF Formula

Least Common Multiple of 13,98,634 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 13,98,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,98,634) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(13,98,634) x common factors =1 x 2 = 2

LCM(13,98,634) = ( 13 × 98 × 634 ) / 2

LCM(13,98,634) = 807716 / 2

LCM(13,98,634) = 403858


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 318/13, 438/98, 232/634

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 318/13, 438/98, 232/634?

Answer: GCF of Numerators as per given numbers 318/13, 438/98, 232/634 is

GCF of Numerators i.e. for 318,438,232 is 2

LCM of denominators i.e. for 13,98,634 is 403858.

Thus, GCF of Fractions is 2/403858.Finally, GCF of Fractions for 318/13, 438/98, 232/634 is 2/403858.