Greatest Common Factor of 45/321, 828/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/321, 828/329

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 45/321,828/329

Given fractions are 45/321,828/329

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 45,828

Greatest Common Factor of Numerators i.e. GCF of 45,828 is 9 .

LCM of Denominators means LCM of 321,329 as per the given fractions.

LCM of 321,329 is 105609 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,828

GCF of Fractions 45/321,828/329 is 9/105609

3 45, 828
3 15, 276
5, 92

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 45,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,828 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 45,828 . The biggest common factor number is the GCF number.
So the greatest common factor 45,828 is 9.

Lets's calculate LCM of 321,329

Given numbers has no common factors except 1. So, there LCM is their product i.e 105609

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/105609

Therefore, the GCF of Fractions 45/321,828/329 is 9/105609

Least Common Multiple of 321,329 with GCF Formula

Least Common Multiple of 321,329 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 321,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,329) = 1

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

GCF(321,329) x common factors =1 x 1 = 1

LCM(321,329) = ( 321 × 329 ) / 1

LCM(321,329) = 105609 / 1

LCM(321,329) = 105609


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 45/321, 828/329

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 45/321, 828/329?

Answer: GCF of Numerators as per given numbers 45/321, 828/329 is

GCF of Numerators i.e. for 45,828 is 9

LCM of denominators i.e. for 321,329 is 105609.

Thus, GCF of Fractions is 9/105609.Finally, GCF of Fractions for 45/321, 828/329 is 9/105609.