Greatest Common Factor of 1404/290, 7176/2272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1404/290, 7176/2272

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 1404/290,7176/2272

Given fractions are 1404/290,7176/2272

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 1404,7176

Greatest Common Factor of Numerators i.e. GCF of 1404,7176 is 156 .

LCM of Denominators means LCM of 290,2272 as per the given fractions.

LCM of 290,2272 is 329440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1404,7176

GCF of Fractions 1404/290,7176/2272 is 156/329440

2 1404, 7176
2 702, 3588
3 351, 1794
13 117, 598
9, 46

∴ So the GCF of the given numbers is 2 x 2 x 3 x 13 = 156

Greatest Common Factor of 1404,7176 By Matching Biggest Common Factor Method

Greatest Common Factor of 1404,7176 By Matching Biggest Common Factor Method

Factors of 1404

List of positive integer factors of 1404 that divides 1404 without a remainder.

1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404

Factors of 7176

List of positive integer factors of 7176 that divides 7176 without a remainder.

1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176

Greatest Common Factor

We found the factors 1404,7176 . The biggest common factor number is the GCF number.
So the greatest common factor 1404,7176 is 156.

Lets's calculate LCM of 290,2272

2 290, 2272
145, 1136

∴ So the LCM of the given numbers is 2 x 145 x 1136 = 329440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 156/329440

Therefore, the GCF of Fractions 1404/290,7176/2272 is 156/329440

Least Common Multiple of 290,2272 with GCF Formula

Least Common Multiple of 290,2272 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 290,2272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,2272) = 2

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

GCF(290,2272) x common factors =2 x 1 = 2

LCM(290,2272) = ( 290 × 2272 ) / 2

LCM(290,2272) = 658880 / 2

LCM(290,2272) = 329440


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 1404/290, 7176/2272

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 1404/290, 7176/2272?

Answer: GCF of Numerators as per given numbers 1404/290, 7176/2272 is

GCF of Numerators i.e. for 1404,7176 is 156

LCM of denominators i.e. for 290,2272 is 329440.

Thus, GCF of Fractions is 156/329440.Finally, GCF of Fractions for 1404/290, 7176/2272 is 156/329440.