Greatest Common Factor of 7443/19, 9274/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7443/19, 9274/332

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 7443/19,9274/332

Given fractions are 7443/19,9274/332

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 7443,9274

Greatest Common Factor of Numerators i.e. GCF of 7443,9274 is 1 .

LCM of Denominators means LCM of 19,332 as per the given fractions.

LCM of 19,332 is 6308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7443,9274

GCF of Fractions 7443/19,9274/332 is 1/6308

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

Greatest Common Factor of 7443,9274 By Matching Biggest Common Factor Method

Greatest Common Factor of 7443,9274 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 9274

List of positive integer factors of 9274 that divides 9274 without a remainder.

1,2,4637,9274

Greatest Common Factor

We found the factors 7443,9274 . The biggest common factor number is the GCF number.
So the greatest common factor 7443,9274 is 1.

Lets's calculate LCM of 19,332

Given numbers has no common factors except 1. So, there LCM is their product i.e 6308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6308

Therefore, the GCF of Fractions 7443/19,9274/332 is 1/6308

Least Common Multiple of 19,332 with GCF Formula

Least Common Multiple of 19,332 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 19,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,332) = 1

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

GCF(19,332) x common factors =1 x 1 = 1

LCM(19,332) = ( 19 × 332 ) / 1

LCM(19,332) = 6308 / 1

LCM(19,332) = 6308


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 7443/19, 9274/332

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 7443/19, 9274/332?

Answer: GCF of Numerators as per given numbers 7443/19, 9274/332 is

GCF of Numerators i.e. for 7443,9274 is 1

LCM of denominators i.e. for 19,332 is 6308.

Thus, GCF of Fractions is 1/6308.Finally, GCF of Fractions for 7443/19, 9274/332 is 1/6308.