Greatest Common Factor of 118/416, 4696/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 118/416, 4696/940

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 118/416,4696/940

Given fractions are 118/416,4696/940

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 118,4696

Greatest Common Factor of Numerators i.e. GCF of 118,4696 is 2 .

LCM of Denominators means LCM of 416,940 as per the given fractions.

LCM of 416,940 is 97760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 118,4696

GCF of Fractions 118/416,4696/940 is 2/97760

2 118, 4696
59, 2348

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

Greatest Common Factor of 118,4696 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,4696 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 4696

List of positive integer factors of 4696 that divides 4696 without a remainder.

1,2,4,8,587,1174,2348,4696

Greatest Common Factor

We found the factors 118,4696 . The biggest common factor number is the GCF number.
So the greatest common factor 118,4696 is 2.

Lets's calculate LCM of 416,940

2 416, 940
2 208, 470
104, 235

∴ So the LCM of the given numbers is 2 x 2 x 104 x 235 = 97760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/97760

Therefore, the GCF of Fractions 118/416,4696/940 is 2/97760

Least Common Multiple of 416,940 with GCF Formula

Least Common Multiple of 416,940 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 416,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,940) = 4

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

GCF(416,940) x common factors =4 x 1 = 4

LCM(416,940) = ( 416 × 940 ) / 4

LCM(416,940) = 391040 / 4

LCM(416,940) = 97760


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 118/416, 4696/940

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 118/416, 4696/940?

Answer: GCF of Numerators as per given numbers 118/416, 4696/940 is

GCF of Numerators i.e. for 118,4696 is 2

LCM of denominators i.e. for 416,940 is 97760.

Thus, GCF of Fractions is 2/97760.Finally, GCF of Fractions for 118/416, 4696/940 is 2/97760.