Greatest Common Factor of 118/28, 429/56, 736/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 118/28, 429/56, 736/327

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 118/28,429/56,736/327

Given fractions are 118/28,429/56,736/327

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 118,429,736

Greatest Common Factor of Numerators i.e. GCF of 118,429,736 is 1 .

LCM of Denominators means LCM of 28,56,327 as per the given fractions.

LCM of 28,56,327 is 18312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 118,429,736

GCF of Fractions 118/28,429/56,736/327 is 1/18312

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 118,429,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,429,736 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 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 118,429,736 . The biggest common factor number is the GCF number.
So the greatest common factor 118,429,736 is 1.

Lets's calculate LCM of 28,56,327

2 28, 56, 327
2 14, 28, 327
7 7, 14, 327
1, 2, 327

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 2 x 327 = 18312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18312

Therefore, the GCF of Fractions 118/28,429/56,736/327 is 1/18312

Least Common Multiple of 28,56,327 with GCF Formula

Least Common Multiple of 28,56,327 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 28,56,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,56,327) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(28,56,327) x common factors =1 x 28 = 28

LCM(28,56,327) = ( 28 × 56 × 327 ) / 28

LCM(28,56,327) = 512736 / 28

LCM(28,56,327) = 18312


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 118/28, 429/56, 736/327

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 118/28, 429/56, 736/327?

Answer: GCF of Numerators as per given numbers 118/28, 429/56, 736/327 is

GCF of Numerators i.e. for 118,429,736 is 1

LCM of denominators i.e. for 28,56,327 is 18312.

Thus, GCF of Fractions is 1/18312.Finally, GCF of Fractions for 118/28, 429/56, 736/327 is 1/18312.