Greatest Common Factor of 2304/264, 7572/2305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2304/264, 7572/2305

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 2304/264,7572/2305

Given fractions are 2304/264,7572/2305

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 2304,7572

Greatest Common Factor of Numerators i.e. GCF of 2304,7572 is 12 .

LCM of Denominators means LCM of 264,2305 as per the given fractions.

LCM of 264,2305 is 608520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2304,7572

GCF of Fractions 2304/264,7572/2305 is 12/608520

2 2304, 7572
2 1152, 3786
3 576, 1893
192, 631

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 2304,7572 By Matching Biggest Common Factor Method

Greatest Common Factor of 2304,7572 By Matching Biggest Common Factor Method

Factors of 2304

List of positive integer factors of 2304 that divides 2304 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,576,768,1152,2304

Factors of 7572

List of positive integer factors of 7572 that divides 7572 without a remainder.

1,2,3,4,6,12,631,1262,1893,2524,3786,7572

Greatest Common Factor

We found the factors 2304,7572 . The biggest common factor number is the GCF number.
So the greatest common factor 2304,7572 is 12.

Lets's calculate LCM of 264,2305

Given numbers has no common factors except 1. So, there LCM is their product i.e 608520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/608520

Therefore, the GCF of Fractions 2304/264,7572/2305 is 12/608520

Least Common Multiple of 264,2305 with GCF Formula

Least Common Multiple of 264,2305 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 264,2305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,2305) = 1

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

GCF(264,2305) x common factors =1 x 1 = 1

LCM(264,2305) = ( 264 × 2305 ) / 1

LCM(264,2305) = 608520 / 1

LCM(264,2305) = 608520


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 2304/264, 7572/2305

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 2304/264, 7572/2305?

Answer: GCF of Numerators as per given numbers 2304/264, 7572/2305 is

GCF of Numerators i.e. for 2304,7572 is 12

LCM of denominators i.e. for 264,2305 is 608520.

Thus, GCF of Fractions is 12/608520.Finally, GCF of Fractions for 2304/264, 7572/2305 is 12/608520.