Greatest Common Factor of 10/272, 733/334, 193/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/272, 733/334, 193/356

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 10/272,733/334,193/356

Given fractions are 10/272,733/334,193/356

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 10,733,193

Greatest Common Factor of Numerators i.e. GCF of 10,733,193 is 1 .

LCM of Denominators means LCM of 272,334,356 as per the given fractions.

LCM of 272,334,356 is 4042736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,733,193

GCF of Fractions 10/272,733/334,193/356 is 1/4042736

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

Greatest Common Factor of 10,733,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,733,193 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 10,733,193 . The biggest common factor number is the GCF number.
So the greatest common factor 10,733,193 is 1.

Lets's calculate LCM of 272,334,356

2 272, 334, 356
2 136, 167, 178
68, 167, 89

∴ So the LCM of the given numbers is 2 x 2 x 68 x 167 x 89 = 4042736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4042736

Therefore, the GCF of Fractions 10/272,733/334,193/356 is 1/4042736

Least Common Multiple of 272,334,356 with GCF Formula

Least Common Multiple of 272,334,356 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 272,334,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,334,356) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(272,334,356) x common factors =2 x 4 = 8

LCM(272,334,356) = ( 272 × 334 × 356 ) / 8

LCM(272,334,356) = 32341888 / 8

LCM(272,334,356) = 4042736


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 10/272, 733/334, 193/356

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 10/272, 733/334, 193/356?

Answer: GCF of Numerators as per given numbers 10/272, 733/334, 193/356 is

GCF of Numerators i.e. for 10,733,193 is 1

LCM of denominators i.e. for 272,334,356 is 4042736.

Thus, GCF of Fractions is 1/4042736.Finally, GCF of Fractions for 10/272, 733/334, 193/356 is 1/4042736.