Greatest Common Factor of 2931/504, 9185/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2931/504, 9185/192

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 2931/504,9185/192

Given fractions are 2931/504,9185/192

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 2931,9185

Greatest Common Factor of Numerators i.e. GCF of 2931,9185 is 1 .

LCM of Denominators means LCM of 504,192 as per the given fractions.

LCM of 504,192 is 4032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2931,9185

GCF of Fractions 2931/504,9185/192 is 1/4032

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

Greatest Common Factor of 2931,9185 By Matching Biggest Common Factor Method

Greatest Common Factor of 2931,9185 By Matching Biggest Common Factor Method

Factors of 2931

List of positive integer factors of 2931 that divides 2931 without a remainder.

1,3,977,2931

Factors of 9185

List of positive integer factors of 9185 that divides 9185 without a remainder.

1,5,11,55,167,835,1837,9185

Greatest Common Factor

We found the factors 2931,9185 . The biggest common factor number is the GCF number.
So the greatest common factor 2931,9185 is 1.

Lets's calculate LCM of 504,192

2 504, 192
2 252, 96
2 126, 48
3 63, 24
21, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 21 x 8 = 4032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4032

Therefore, the GCF of Fractions 2931/504,9185/192 is 1/4032

Least Common Multiple of 504,192 with GCF Formula

Least Common Multiple of 504,192 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 504,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,192) = 24

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

GCF(504,192) x common factors =24 x 1 = 24

LCM(504,192) = ( 504 × 192 ) / 24

LCM(504,192) = 96768 / 24

LCM(504,192) = 4032


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 2931/504, 9185/192

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 2931/504, 9185/192?

Answer: GCF of Numerators as per given numbers 2931/504, 9185/192 is

GCF of Numerators i.e. for 2931,9185 is 1

LCM of denominators i.e. for 504,192 is 4032.

Thus, GCF of Fractions is 1/4032.Finally, GCF of Fractions for 2931/504, 9185/192 is 1/4032.