Greatest Common Factor of 254/13, 998/43, 710/50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 254/13, 998/43, 710/50

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 254/13,998/43,710/50

Given fractions are 254/13,998/43,710/50

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 254,998,710

Greatest Common Factor of Numerators i.e. GCF of 254,998,710 is 2 .

LCM of Denominators means LCM of 13,43,50 as per the given fractions.

LCM of 13,43,50 is 27950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 254,998,710

GCF of Fractions 254/13,998/43,710/50 is 2/27950

2 254, 998, 710
127, 499, 355

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

Greatest Common Factor of 254,998,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,998,710 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 254,998,710 . The biggest common factor number is the GCF number.
So the greatest common factor 254,998,710 is 2.

Lets's calculate LCM of 13,43,50

Given numbers has no common factors except 1. So, there LCM is their product i.e 27950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27950

Therefore, the GCF of Fractions 254/13,998/43,710/50 is 2/27950

Least Common Multiple of 13,43,50 with GCF Formula

Least Common Multiple of 13,43,50 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 13,43,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,43,50) = 1

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

GCF(13,43,50) x common factors =1 x 1 = 1

LCM(13,43,50) = ( 13 × 43 × 50 ) / 1

LCM(13,43,50) = 27950 / 1

LCM(13,43,50) = 27950


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 254/13, 998/43, 710/50

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 254/13, 998/43, 710/50?

Answer: GCF of Numerators as per given numbers 254/13, 998/43, 710/50 is

GCF of Numerators i.e. for 254,998,710 is 2

LCM of denominators i.e. for 13,43,50 is 27950.

Thus, GCF of Fractions is 2/27950.Finally, GCF of Fractions for 254/13, 998/43, 710/50 is 2/27950.