Greatest Common Factor of 5825/123, 4931/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5825/123, 4931/912

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 5825/123,4931/912

Given fractions are 5825/123,4931/912

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 5825,4931

Greatest Common Factor of Numerators i.e. GCF of 5825,4931 is 1 .

LCM of Denominators means LCM of 123,912 as per the given fractions.

LCM of 123,912 is 37392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5825,4931

GCF of Fractions 5825/123,4931/912 is 1/37392

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

Greatest Common Factor of 5825,4931 By Matching Biggest Common Factor Method

Greatest Common Factor of 5825,4931 By Matching Biggest Common Factor Method

Factors of 5825

List of positive integer factors of 5825 that divides 5825 without a remainder.

1,5,25,233,1165,5825

Factors of 4931

List of positive integer factors of 4931 that divides 4931 without a remainder.

1,4931

Greatest Common Factor

We found the factors 5825,4931 . The biggest common factor number is the GCF number.
So the greatest common factor 5825,4931 is 1.

Lets's calculate LCM of 123,912

3 123, 912
41, 304

∴ So the LCM of the given numbers is 3 x 41 x 304 = 37392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37392

Therefore, the GCF of Fractions 5825/123,4931/912 is 1/37392

Least Common Multiple of 123,912 with GCF Formula

Least Common Multiple of 123,912 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 123,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,912) = 3

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

GCF(123,912) x common factors =3 x 1 = 3

LCM(123,912) = ( 123 × 912 ) / 3

LCM(123,912) = 112176 / 3

LCM(123,912) = 37392


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 5825/123, 4931/912

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 5825/123, 4931/912?

Answer: GCF of Numerators as per given numbers 5825/123, 4931/912 is

GCF of Numerators i.e. for 5825,4931 is 1

LCM of denominators i.e. for 123,912 is 37392.

Thus, GCF of Fractions is 1/37392.Finally, GCF of Fractions for 5825/123, 4931/912 is 1/37392.