Greatest Common Factor of 123/305, 213/133, 331/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 123/305, 213/133, 331/521

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 123/305,213/133,331/521

Given fractions are 123/305,213/133,331/521

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 123,213,331

Greatest Common Factor of Numerators i.e. GCF of 123,213,331 is 1 .

LCM of Denominators means LCM of 305,133,521 as per the given fractions.

LCM of 305,133,521 is 21134365 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 123,213,331

GCF of Fractions 123/305,213/133,331/521 is 1/21134365

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

Greatest Common Factor of 123,213,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,213,331 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 123,213,331 . The biggest common factor number is the GCF number.
So the greatest common factor 123,213,331 is 1.

Lets's calculate LCM of 305,133,521

Given numbers has no common factors except 1. So, there LCM is their product i.e 21134365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21134365

Therefore, the GCF of Fractions 123/305,213/133,331/521 is 1/21134365

Least Common Multiple of 305,133,521 with GCF Formula

Least Common Multiple of 305,133,521 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 305,133,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,133,521) = 1

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

GCF(305,133,521) x common factors =1 x 1 = 1

LCM(305,133,521) = ( 305 × 133 × 521 ) / 1

LCM(305,133,521) = 21134365 / 1

LCM(305,133,521) = 21134365


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 123/305, 213/133, 331/521

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 123/305, 213/133, 331/521?

Answer: GCF of Numerators as per given numbers 123/305, 213/133, 331/521 is

GCF of Numerators i.e. for 123,213,331 is 1

LCM of denominators i.e. for 305,133,521 is 21134365.

Thus, GCF of Fractions is 1/21134365.Finally, GCF of Fractions for 123/305, 213/133, 331/521 is 1/21134365.