Greatest Common Factor of 313/73, 736/72, 328/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 313/73, 736/72, 328/129

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 313/73,736/72,328/129

Given fractions are 313/73,736/72,328/129

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 313,736,328

Greatest Common Factor of Numerators i.e. GCF of 313,736,328 is 1 .

LCM of Denominators means LCM of 73,72,129 as per the given fractions.

LCM of 73,72,129 is 226008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 313,736,328

GCF of Fractions 313/73,736/72,328/129 is 1/226008

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

Greatest Common Factor of 313,736,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,736,328 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 313,736,328 . The biggest common factor number is the GCF number.
So the greatest common factor 313,736,328 is 1.

Lets's calculate LCM of 73,72,129

3 73, 72, 129
73, 24, 43

∴ So the LCM of the given numbers is 3 x 73 x 24 x 43 = 226008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226008

Therefore, the GCF of Fractions 313/73,736/72,328/129 is 1/226008

Least Common Multiple of 73,72,129 with GCF Formula

Least Common Multiple of 73,72,129 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 73,72,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,72,129) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(73,72,129) x common factors =1 x 3 = 3

LCM(73,72,129) = ( 73 × 72 × 129 ) / 3

LCM(73,72,129) = 678024 / 3

LCM(73,72,129) = 226008


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 313/73, 736/72, 328/129

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 313/73, 736/72, 328/129?

Answer: GCF of Numerators as per given numbers 313/73, 736/72, 328/129 is

GCF of Numerators i.e. for 313,736,328 is 1

LCM of denominators i.e. for 73,72,129 is 226008.

Thus, GCF of Fractions is 1/226008.Finally, GCF of Fractions for 313/73, 736/72, 328/129 is 1/226008.