Greatest Common Factor of 7383/38, 7096/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7383/38, 7096/469

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 7383/38,7096/469

Given fractions are 7383/38,7096/469

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 7383,7096

Greatest Common Factor of Numerators i.e. GCF of 7383,7096 is 1 .

LCM of Denominators means LCM of 38,469 as per the given fractions.

LCM of 38,469 is 17822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7383,7096

GCF of Fractions 7383/38,7096/469 is 1/17822

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

Greatest Common Factor of 7383,7096 By Matching Biggest Common Factor Method

Greatest Common Factor of 7383,7096 By Matching Biggest Common Factor Method

Factors of 7383

List of positive integer factors of 7383 that divides 7383 without a remainder.

1,3,23,69,107,321,2461,7383

Factors of 7096

List of positive integer factors of 7096 that divides 7096 without a remainder.

1,2,4,8,887,1774,3548,7096

Greatest Common Factor

We found the factors 7383,7096 . The biggest common factor number is the GCF number.
So the greatest common factor 7383,7096 is 1.

Lets's calculate LCM of 38,469

Given numbers has no common factors except 1. So, there LCM is their product i.e 17822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17822

Therefore, the GCF of Fractions 7383/38,7096/469 is 1/17822

Least Common Multiple of 38,469 with GCF Formula

Least Common Multiple of 38,469 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 38,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,469) = 1

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

GCF(38,469) x common factors =1 x 1 = 1

LCM(38,469) = ( 38 × 469 ) / 1

LCM(38,469) = 17822 / 1

LCM(38,469) = 17822


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 7383/38, 7096/469

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 7383/38, 7096/469?

Answer: GCF of Numerators as per given numbers 7383/38, 7096/469 is

GCF of Numerators i.e. for 7383,7096 is 1

LCM of denominators i.e. for 38,469 is 17822.

Thus, GCF of Fractions is 1/17822.Finally, GCF of Fractions for 7383/38, 7096/469 is 1/17822.