Greatest Common Factor of 133/478, 2695/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 133/478, 2695/268

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 133/478,2695/268

Given fractions are 133/478,2695/268

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 133,2695

Greatest Common Factor of Numerators i.e. GCF of 133,2695 is 7 .

LCM of Denominators means LCM of 478,268 as per the given fractions.

LCM of 478,268 is 64052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 133,2695

GCF of Fractions 133/478,2695/268 is 7/64052

7 133, 2695
19, 385

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 133,2695 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,2695 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 2695

List of positive integer factors of 2695 that divides 2695 without a remainder.

1,5,7,11,35,49,55,77,245,385,539,2695

Greatest Common Factor

We found the factors 133,2695 . The biggest common factor number is the GCF number.
So the greatest common factor 133,2695 is 7.

Lets's calculate LCM of 478,268

2 478, 268
239, 134

∴ So the LCM of the given numbers is 2 x 239 x 134 = 64052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/64052

Therefore, the GCF of Fractions 133/478,2695/268 is 7/64052

Least Common Multiple of 478,268 with GCF Formula

Least Common Multiple of 478,268 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 478,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,268) = 2

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

GCF(478,268) x common factors =2 x 1 = 2

LCM(478,268) = ( 478 × 268 ) / 2

LCM(478,268) = 128104 / 2

LCM(478,268) = 64052


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 133/478, 2695/268

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 133/478, 2695/268?

Answer: GCF of Numerators as per given numbers 133/478, 2695/268 is

GCF of Numerators i.e. for 133,2695 is 7

LCM of denominators i.e. for 478,268 is 64052.

Thus, GCF of Fractions is 7/64052.Finally, GCF of Fractions for 133/478, 2695/268 is 7/64052.