Greatest Common Factor of 117/254, 726/413, 760/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 117/254, 726/413, 760/196

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 117/254,726/413,760/196

Given fractions are 117/254,726/413,760/196

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 117,726,760

Greatest Common Factor of Numerators i.e. GCF of 117,726,760 is 1 .

LCM of Denominators means LCM of 254,413,196 as per the given fractions.

LCM of 254,413,196 is 1468628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 117,726,760

GCF of Fractions 117/254,726/413,760/196 is 1/1468628

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

Greatest Common Factor of 117,726,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,726,760 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 117,726,760 . The biggest common factor number is the GCF number.
So the greatest common factor 117,726,760 is 1.

Lets's calculate LCM of 254,413,196

2 254, 413, 196
7 127, 413, 98
127, 59, 14

∴ So the LCM of the given numbers is 2 x 7 x 127 x 59 x 14 = 1468628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1468628

Therefore, the GCF of Fractions 117/254,726/413,760/196 is 1/1468628

Least Common Multiple of 254,413,196 with GCF Formula

Least Common Multiple of 254,413,196 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 254,413,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,413,196) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(254,413,196) x common factors =1 x 14 = 14

LCM(254,413,196) = ( 254 × 413 × 196 ) / 14

LCM(254,413,196) = 20560792 / 14

LCM(254,413,196) = 1468628


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 117/254, 726/413, 760/196

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 117/254, 726/413, 760/196?

Answer: GCF of Numerators as per given numbers 117/254, 726/413, 760/196 is

GCF of Numerators i.e. for 117,726,760 is 1

LCM of denominators i.e. for 254,413,196 is 1468628.

Thus, GCF of Fractions is 1/1468628.Finally, GCF of Fractions for 117/254, 726/413, 760/196 is 1/1468628.