Greatest Common Factor of 576/73, 804/74, 328/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 576/73, 804/74, 328/649

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 576/73,804/74,328/649

Given fractions are 576/73,804/74,328/649

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 576,804,328

Greatest Common Factor of Numerators i.e. GCF of 576,804,328 is 4 .

LCM of Denominators means LCM of 73,74,649 as per the given fractions.

LCM of 73,74,649 is 3505898 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 576,804,328

GCF of Fractions 576/73,804/74,328/649 is 4/3505898

2 576, 804, 328
2 288, 402, 164
144, 201, 82

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 576,804,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,804,328 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 576,804,328 . The biggest common factor number is the GCF number.
So the greatest common factor 576,804,328 is 4.

Lets's calculate LCM of 73,74,649

Given numbers has no common factors except 1. So, there LCM is their product i.e 3505898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3505898

Therefore, the GCF of Fractions 576/73,804/74,328/649 is 4/3505898

Least Common Multiple of 73,74,649 with GCF Formula

Least Common Multiple of 73,74,649 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 73,74,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,74,649) = 1

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

GCF(73,74,649) x common factors =1 x 1 = 1

LCM(73,74,649) = ( 73 × 74 × 649 ) / 1

LCM(73,74,649) = 3505898 / 1

LCM(73,74,649) = 3505898


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 576/73, 804/74, 328/649

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 576/73, 804/74, 328/649?

Answer: GCF of Numerators as per given numbers 576/73, 804/74, 328/649 is

GCF of Numerators i.e. for 576,804,328 is 4

LCM of denominators i.e. for 73,74,649 is 3505898.

Thus, GCF of Fractions is 4/3505898.Finally, GCF of Fractions for 576/73, 804/74, 328/649 is 4/3505898.