Greatest Common Factor of 738/10, 540/20, 356/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 738/10, 540/20, 356/180

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 738/10,540/20,356/180

Given fractions are 738/10,540/20,356/180

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 738,540,356

Greatest Common Factor of Numerators i.e. GCF of 738,540,356 is 2 .

LCM of Denominators means LCM of 10,20,180 as per the given fractions.

LCM of 10,20,180 is 180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 738,540,356

GCF of Fractions 738/10,540/20,356/180 is 2/180

2 738, 540, 356
369, 270, 178

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

Greatest Common Factor of 738,540,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,540,356 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 738,540,356 . The biggest common factor number is the GCF number.
So the greatest common factor 738,540,356 is 2.

Lets's calculate LCM of 10,20,180

2 10, 20, 180
2 5, 10, 90
5 5, 5, 45
1, 1, 9

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 1 x 9 = 180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/180

Therefore, the GCF of Fractions 738/10,540/20,356/180 is 2/180

Least Common Multiple of 10,20,180 with GCF Formula

Least Common Multiple of 10,20,180 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 10,20,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,20,180) = 10

common factors(in case of two or more numbers have common factors) = 20

GCF(10,20,180) x common factors =10 x 20 = 200

LCM(10,20,180) = ( 10 × 20 × 180 ) / 200

LCM(10,20,180) = 36000 / 200

LCM(10,20,180) = 180


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 738/10, 540/20, 356/180

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 738/10, 540/20, 356/180?

Answer: GCF of Numerators as per given numbers 738/10, 540/20, 356/180 is

GCF of Numerators i.e. for 738,540,356 is 2

LCM of denominators i.e. for 10,20,180 is 180.

Thus, GCF of Fractions is 2/180.Finally, GCF of Fractions for 738/10, 540/20, 356/180 is 2/180.