Greatest Common Factor of 804/706, 1044/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 804/706, 1044/576

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 804/706,1044/576

Given fractions are 804/706,1044/576

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 804,1044

Greatest Common Factor of Numerators i.e. GCF of 804,1044 is 12 .

LCM of Denominators means LCM of 706,576 as per the given fractions.

LCM of 706,576 is 203328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 804,1044

GCF of Fractions 804/706,1044/576 is 12/203328

2 804, 1044
2 402, 522
3 201, 261
67, 87

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

Greatest Common Factor of 804,1044 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,1044 By Matching Biggest Common Factor Method

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 1044

List of positive integer factors of 1044 that divides 1044 without a remainder.

1,2,3,4,6,9,12,18,29,36,58,87,116,174,261,348,522,1044

Greatest Common Factor

We found the factors 804,1044 . The biggest common factor number is the GCF number.
So the greatest common factor 804,1044 is 12.

Lets's calculate LCM of 706,576

2 706, 576
353, 288

∴ So the LCM of the given numbers is 2 x 353 x 288 = 203328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/203328

Therefore, the GCF of Fractions 804/706,1044/576 is 12/203328

Least Common Multiple of 706,576 with GCF Formula

Least Common Multiple of 706,576 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 706,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,576) = 2

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

GCF(706,576) x common factors =2 x 1 = 2

LCM(706,576) = ( 706 × 576 ) / 2

LCM(706,576) = 406656 / 2

LCM(706,576) = 203328


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 804/706, 1044/576

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 804/706, 1044/576?

Answer: GCF of Numerators as per given numbers 804/706, 1044/576 is

GCF of Numerators i.e. for 804,1044 is 12

LCM of denominators i.e. for 706,576 is 203328.

Thus, GCF of Fractions is 12/203328.Finally, GCF of Fractions for 804/706, 1044/576 is 12/203328.