Greatest Common Factor of 30/44, 99/73, 369/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 30/44, 99/73, 369/287

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 30/44,99/73,369/287

Given fractions are 30/44,99/73,369/287

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 30,99,369

Greatest Common Factor of Numerators i.e. GCF of 30,99,369 is 3 .

LCM of Denominators means LCM of 44,73,287 as per the given fractions.

LCM of 44,73,287 is 921844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,99,369

GCF of Fractions 30/44,99/73,369/287 is 3/921844

3 30, 99, 369
10, 33, 123

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 30,99,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,99,369 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 30,99,369 . The biggest common factor number is the GCF number.
So the greatest common factor 30,99,369 is 3.


Lets's calculate LCM of 44,73,287

Given numbers has no common factors except 1. So, there LCM is their product i.e 921844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/921844

Therefore, the GCF of Fractions 30/44,99/73,369/287 is 3/921844

Least Common Multiple of 44,73,287 with GCF Formula

Least Common Multiple of 44,73,287 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 44,73,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,73,287) = 1

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

GCF(44,73,287) x common factors =1 x 1 = 1

LCM(44,73,287) = ( 44 × 73 × 287 ) / 1

LCM(44,73,287) = 921844 / 1

LCM(44,73,287) = 921844


GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 30/44, 99/73, 369/287

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 30/44, 99/73, 369/287?

Answer: GCF of Numerators as per given numbers 30/44, 99/73, 369/287 is

GCF of Numerators i.e. for 30,99,369 is 3

LCM of denominators i.e. for 44,73,287 is 921844.

Thus, GCF of Fractions is 3/921844.Finally, GCF of Fractions for 30/44, 99/73, 369/287 is 3/921844.