Greatest Common Factor of 5295/825, 3054/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5295/825, 3054/324

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 5295/825,3054/324

Given fractions are 5295/825,3054/324

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 5295,3054

Greatest Common Factor of Numerators i.e. GCF of 5295,3054 is 3 .

LCM of Denominators means LCM of 825,324 as per the given fractions.

LCM of 825,324 is 89100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5295,3054

GCF of Fractions 5295/825,3054/324 is 3/89100

3 5295, 3054
1765, 1018

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

Greatest Common Factor of 5295,3054 By Matching Biggest Common Factor Method

Greatest Common Factor of 5295,3054 By Matching Biggest Common Factor Method

Factors of 5295

List of positive integer factors of 5295 that divides 5295 without a remainder.

1,3,5,15,353,1059,1765,5295

Factors of 3054

List of positive integer factors of 3054 that divides 3054 without a remainder.

1,2,3,6,509,1018,1527,3054

Greatest Common Factor

We found the factors 5295,3054 . The biggest common factor number is the GCF number.
So the greatest common factor 5295,3054 is 3.

Lets's calculate LCM of 825,324

3 825, 324
275, 108

∴ So the LCM of the given numbers is 3 x 275 x 108 = 89100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/89100

Therefore, the GCF of Fractions 5295/825,3054/324 is 3/89100

Least Common Multiple of 825,324 with GCF Formula

Least Common Multiple of 825,324 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 825,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,324) = 3

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

GCF(825,324) x common factors =3 x 1 = 3

LCM(825,324) = ( 825 × 324 ) / 3

LCM(825,324) = 267300 / 3

LCM(825,324) = 89100


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 5295/825, 3054/324

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 5295/825, 3054/324?

Answer: GCF of Numerators as per given numbers 5295/825, 3054/324 is

GCF of Numerators i.e. for 5295,3054 is 3

LCM of denominators i.e. for 825,324 is 89100.

Thus, GCF of Fractions is 3/89100.Finally, GCF of Fractions for 5295/825, 3054/324 is 3/89100.