Greatest Common Factor of 288/60, 123/9714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 288/60, 123/9714

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 288/60,123/9714

Given fractions are 288/60,123/9714

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 288,123

Greatest Common Factor of Numerators i.e. GCF of 288,123 is 3 .

LCM of Denominators means LCM of 60,9714 as per the given fractions.

LCM of 60,9714 is 97140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 288,123

GCF of Fractions 288/60,123/9714 is 3/97140

3 288, 123
96, 41

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

Greatest Common Factor of 288,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,123 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 123

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

1,3,41,123

Greatest Common Factor

We found the factors 288,123 . The biggest common factor number is the GCF number.
So the greatest common factor 288,123 is 3.

Lets's calculate LCM of 60,9714

2 60, 9714
3 30, 4857
10, 1619

∴ So the LCM of the given numbers is 2 x 3 x 10 x 1619 = 97140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/97140

Therefore, the GCF of Fractions 288/60,123/9714 is 3/97140

Least Common Multiple of 60,9714 with GCF Formula

Least Common Multiple of 60,9714 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 60,9714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,9714) = 6

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

GCF(60,9714) x common factors =6 x 1 = 6

LCM(60,9714) = ( 60 × 9714 ) / 6

LCM(60,9714) = 582840 / 6

LCM(60,9714) = 97140


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 288/60, 123/9714

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 288/60, 123/9714?

Answer: GCF of Numerators as per given numbers 288/60, 123/9714 is

GCF of Numerators i.e. for 288,123 is 3

LCM of denominators i.e. for 60,9714 is 97140.

Thus, GCF of Fractions is 3/97140.Finally, GCF of Fractions for 288/60, 123/9714 is 3/97140.