Greatest Common Factor of 288/12, 1544/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 288/12, 1544/727

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 288/12,1544/727

Given fractions are 288/12,1544/727

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 288,1544

Greatest Common Factor of Numerators i.e. GCF of 288,1544 is 8 .

LCM of Denominators means LCM of 12,727 as per the given fractions.

LCM of 12,727 is 8724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 288,1544

GCF of Fractions 288/12,1544/727 is 8/8724

2 288, 1544
2 144, 772
2 72, 386
36, 193

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 288,1544 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,1544 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 1544

List of positive integer factors of 1544 that divides 1544 without a remainder.

1,2,4,8,193,386,772,1544

Greatest Common Factor

We found the factors 288,1544 . The biggest common factor number is the GCF number.
So the greatest common factor 288,1544 is 8.

Lets's calculate LCM of 12,727

Given numbers has no common factors except 1. So, there LCM is their product i.e 8724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/8724

Therefore, the GCF of Fractions 288/12,1544/727 is 8/8724

Least Common Multiple of 12,727 with GCF Formula

Least Common Multiple of 12,727 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 12,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,727) = 1

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

GCF(12,727) x common factors =1 x 1 = 1

LCM(12,727) = ( 12 × 727 ) / 1

LCM(12,727) = 8724 / 1

LCM(12,727) = 8724


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 288/12, 1544/727

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 288/12, 1544/727?

Answer: GCF of Numerators as per given numbers 288/12, 1544/727 is

GCF of Numerators i.e. for 288,1544 is 8

LCM of denominators i.e. for 12,727 is 8724.

Thus, GCF of Fractions is 8/8724.Finally, GCF of Fractions for 288/12, 1544/727 is 8/8724.