Greatest Common Factor of 7443/28, 9783/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7443/28, 9783/319

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 7443/28,9783/319

Given fractions are 7443/28,9783/319

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 7443,9783

Greatest Common Factor of Numerators i.e. GCF of 7443,9783 is 9 .

LCM of Denominators means LCM of 28,319 as per the given fractions.

LCM of 28,319 is 8932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7443,9783

GCF of Fractions 7443/28,9783/319 is 9/8932

3 7443, 9783
3 2481, 3261
827, 1087

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

Greatest Common Factor of 7443,9783 By Matching Biggest Common Factor Method

Greatest Common Factor of 7443,9783 By Matching Biggest Common Factor Method

Factors of 7443

List of positive integer factors of 7443 that divides 7443 without a remainder.

1,3,9,827,2481,7443

Factors of 9783

List of positive integer factors of 9783 that divides 9783 without a remainder.

1,3,9,1087,3261,9783

Greatest Common Factor

We found the factors 7443,9783 . The biggest common factor number is the GCF number.
So the greatest common factor 7443,9783 is 9.

Lets's calculate LCM of 28,319

Given numbers has no common factors except 1. So, there LCM is their product i.e 8932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/8932

Therefore, the GCF of Fractions 7443/28,9783/319 is 9/8932

Least Common Multiple of 28,319 with GCF Formula

Least Common Multiple of 28,319 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 28,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,319) = 1

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

GCF(28,319) x common factors =1 x 1 = 1

LCM(28,319) = ( 28 × 319 ) / 1

LCM(28,319) = 8932 / 1

LCM(28,319) = 8932


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 7443/28, 9783/319

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 7443/28, 9783/319?

Answer: GCF of Numerators as per given numbers 7443/28, 9783/319 is

GCF of Numerators i.e. for 7443,9783 is 9

LCM of denominators i.e. for 28,319 is 8932.

Thus, GCF of Fractions is 9/8932.Finally, GCF of Fractions for 7443/28, 9783/319 is 9/8932.