Greatest Common Factor of 6528/496, 2265/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6528/496, 2265/912

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 6528/496,2265/912

Given fractions are 6528/496,2265/912

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 6528,2265

Greatest Common Factor of Numerators i.e. GCF of 6528,2265 is 3 .

LCM of Denominators means LCM of 496,912 as per the given fractions.

LCM of 496,912 is 28272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6528,2265

GCF of Fractions 6528/496,2265/912 is 3/28272

3 6528, 2265
2176, 755

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

Greatest Common Factor of 6528,2265 By Matching Biggest Common Factor Method

Greatest Common Factor of 6528,2265 By Matching Biggest Common Factor Method

Factors of 6528

List of positive integer factors of 6528 that divides 6528 without a remainder.

1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,128,136,192,204,272,384,408,544,816,1088,1632,2176,3264,6528

Factors of 2265

List of positive integer factors of 2265 that divides 2265 without a remainder.

1,3,5,15,151,453,755,2265

Greatest Common Factor

We found the factors 6528,2265 . The biggest common factor number is the GCF number.
So the greatest common factor 6528,2265 is 3.

Lets's calculate LCM of 496,912

2 496, 912
2 248, 456
2 124, 228
2 62, 114
31, 57

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 31 x 57 = 28272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28272

Therefore, the GCF of Fractions 6528/496,2265/912 is 3/28272

Least Common Multiple of 496,912 with GCF Formula

Least Common Multiple of 496,912 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 496,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,912) = 16

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

GCF(496,912) x common factors =16 x 1 = 16

LCM(496,912) = ( 496 × 912 ) / 16

LCM(496,912) = 452352 / 16

LCM(496,912) = 28272


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 6528/496, 2265/912

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 6528/496, 2265/912?

Answer: GCF of Numerators as per given numbers 6528/496, 2265/912 is

GCF of Numerators i.e. for 6528,2265 is 3

LCM of denominators i.e. for 496,912 is 28272.

Thus, GCF of Fractions is 3/28272.Finally, GCF of Fractions for 6528/496, 2265/912 is 3/28272.