Greatest Common Factor of 405/99, 938/3096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 405/99, 938/3096

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 405/99,938/3096

Given fractions are 405/99,938/3096

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 405,938

Greatest Common Factor of Numerators i.e. GCF of 405,938 is 1 .

LCM of Denominators means LCM of 99,3096 as per the given fractions.

LCM of 99,3096 is 34056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 405,938

GCF of Fractions 405/99,938/3096 is 1/34056

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

Greatest Common Factor of 405,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,938 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 405,938 . The biggest common factor number is the GCF number.
So the greatest common factor 405,938 is 1.

Lets's calculate LCM of 99,3096

3 99, 3096
3 33, 1032
11, 344

∴ So the LCM of the given numbers is 3 x 3 x 11 x 344 = 34056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34056

Therefore, the GCF of Fractions 405/99,938/3096 is 1/34056

Least Common Multiple of 99,3096 with GCF Formula

Least Common Multiple of 99,3096 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 99,3096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,3096) = 9

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

GCF(99,3096) x common factors =9 x 1 = 9

LCM(99,3096) = ( 99 × 3096 ) / 9

LCM(99,3096) = 306504 / 9

LCM(99,3096) = 34056


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 405/99, 938/3096

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 405/99, 938/3096?

Answer: GCF of Numerators as per given numbers 405/99, 938/3096 is

GCF of Numerators i.e. for 405,938 is 1

LCM of denominators i.e. for 99,3096 is 34056.

Thus, GCF of Fractions is 1/34056.Finally, GCF of Fractions for 405/99, 938/3096 is 1/34056.