Greatest Common Factor of 483/309, 9828/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 483/309, 9828/828

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 483/309,9828/828

Given fractions are 483/309,9828/828

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 483,9828

Greatest Common Factor of Numerators i.e. GCF of 483,9828 is 21 .

LCM of Denominators means LCM of 309,828 as per the given fractions.

LCM of 309,828 is 85284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 483,9828

GCF of Fractions 483/309,9828/828 is 21/85284

3 483, 9828
7 161, 3276
23, 468

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 483,9828 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,9828 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 9828

List of positive integer factors of 9828 that divides 9828 without a remainder.

1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828

Greatest Common Factor

We found the factors 483,9828 . The biggest common factor number is the GCF number.
So the greatest common factor 483,9828 is 21.

Lets's calculate LCM of 309,828

3 309, 828
103, 276

∴ So the LCM of the given numbers is 3 x 103 x 276 = 85284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/85284

Therefore, the GCF of Fractions 483/309,9828/828 is 21/85284

Least Common Multiple of 309,828 with GCF Formula

Least Common Multiple of 309,828 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 309,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,828) = 3

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

GCF(309,828) x common factors =3 x 1 = 3

LCM(309,828) = ( 309 × 828 ) / 3

LCM(309,828) = 255852 / 3

LCM(309,828) = 85284


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 483/309, 9828/828

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 483/309, 9828/828?

Answer: GCF of Numerators as per given numbers 483/309, 9828/828 is

GCF of Numerators i.e. for 483,9828 is 21

LCM of denominators i.e. for 309,828 is 85284.

Thus, GCF of Fractions is 21/85284.Finally, GCF of Fractions for 483/309, 9828/828 is 21/85284.