Greatest Common Factor of 1008/384, 2064/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1008/384, 2064/576

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 1008/384,2064/576

Given fractions are 1008/384,2064/576

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 1008,2064

Greatest Common Factor of Numerators i.e. GCF of 1008,2064 is 48 .

LCM of Denominators means LCM of 384,576 as per the given fractions.

LCM of 384,576 is 1152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1008,2064

GCF of Fractions 1008/384,2064/576 is 48/1152

2 1008, 2064
2 504, 1032
2 252, 516
2 126, 258
3 63, 129
21, 43

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Greatest Common Factor of 1008,2064 By Matching Biggest Common Factor Method

Greatest Common Factor of 1008,2064 By Matching Biggest Common Factor Method

Factors of 1008

List of positive integer factors of 1008 that divides 1008 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008

Factors of 2064

List of positive integer factors of 2064 that divides 2064 without a remainder.

1,2,3,4,6,8,12,16,24,43,48,86,129,172,258,344,516,688,1032,2064

Greatest Common Factor

We found the factors 1008,2064 . The biggest common factor number is the GCF number.
So the greatest common factor 1008,2064 is 48.

Lets's calculate LCM of 384,576

2 384, 576
2 192, 288
2 96, 144
2 48, 72
2 24, 36
2 12, 18
3 6, 9
2, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 2 x 3 = 1152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/1152

Therefore, the GCF of Fractions 1008/384,2064/576 is 48/1152

Least Common Multiple of 384,576 with GCF Formula

Least Common Multiple of 384,576 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 384,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,576) = 192

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

GCF(384,576) x common factors =192 x 1 = 192

LCM(384,576) = ( 384 × 576 ) / 192

LCM(384,576) = 221184 / 192

LCM(384,576) = 1152


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 1008/384, 2064/576

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 1008/384, 2064/576?

Answer: GCF of Numerators as per given numbers 1008/384, 2064/576 is

GCF of Numerators i.e. for 1008,2064 is 48

LCM of denominators i.e. for 384,576 is 1152.

Thus, GCF of Fractions is 48/1152.Finally, GCF of Fractions for 1008/384, 2064/576 is 48/1152.