Greatest Common Factor of 28/711, 13/452, 181/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/711, 13/452, 181/782

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 28/711,13/452,181/782

Given fractions are 28/711,13/452,181/782

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 28,13,181

Greatest Common Factor of Numerators i.e. GCF of 28,13,181 is 1 .

LCM of Denominators means LCM of 711,452,782 as per the given fractions.

LCM of 711,452,782 is 125656452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,13,181

GCF of Fractions 28/711,13/452,181/782 is 1/125656452

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

Greatest Common Factor of 28,13,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,13,181 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 28,13,181 . The biggest common factor number is the GCF number.
So the greatest common factor 28,13,181 is 1.

Lets's calculate LCM of 711,452,782

2 711, 452, 782
711, 226, 391

∴ So the LCM of the given numbers is 2 x 711 x 226 x 391 = 125656452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125656452

Therefore, the GCF of Fractions 28/711,13/452,181/782 is 1/125656452

Least Common Multiple of 711,452,782 with GCF Formula

Least Common Multiple of 711,452,782 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 711,452,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,452,782) = 1

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

GCF(711,452,782) x common factors =1 x 2 = 2

LCM(711,452,782) = ( 711 × 452 × 782 ) / 2

LCM(711,452,782) = 251312904 / 2

LCM(711,452,782) = 125656452


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 28/711, 13/452, 181/782

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 28/711, 13/452, 181/782?

Answer: GCF of Numerators as per given numbers 28/711, 13/452, 181/782 is

GCF of Numerators i.e. for 28,13,181 is 1

LCM of denominators i.e. for 711,452,782 is 125656452.

Thus, GCF of Fractions is 1/125656452.Finally, GCF of Fractions for 28/711, 13/452, 181/782 is 1/125656452.