Greatest Common Factor of 300/711, 945/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 300/711, 945/728

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 300/711,945/728

Given fractions are 300/711,945/728

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 300,945

Greatest Common Factor of Numerators i.e. GCF of 300,945 is 15 .

LCM of Denominators means LCM of 711,728 as per the given fractions.

LCM of 711,728 is 517608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 300,945

GCF of Fractions 300/711,945/728 is 15/517608

3 300, 945
5 100, 315
20, 63

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 300,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,945 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 300,945 . The biggest common factor number is the GCF number.
So the greatest common factor 300,945 is 15.

Lets's calculate LCM of 711,728

Given numbers has no common factors except 1. So, there LCM is their product i.e 517608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/517608

Therefore, the GCF of Fractions 300/711,945/728 is 15/517608

Least Common Multiple of 711,728 with GCF Formula

Least Common Multiple of 711,728 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 711,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,728) = 1

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

GCF(711,728) x common factors =1 x 1 = 1

LCM(711,728) = ( 711 × 728 ) / 1

LCM(711,728) = 517608 / 1

LCM(711,728) = 517608


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 300/711, 945/728

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 300/711, 945/728?

Answer: GCF of Numerators as per given numbers 300/711, 945/728 is

GCF of Numerators i.e. for 300,945 is 15

LCM of denominators i.e. for 711,728 is 517608.

Thus, GCF of Fractions is 15/517608.Finally, GCF of Fractions for 300/711, 945/728 is 15/517608.