Greatest Common Factor of 4690/904, 5355/3578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4690/904, 5355/3578

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 4690/904,5355/3578

Given fractions are 4690/904,5355/3578

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 4690,5355

Greatest Common Factor of Numerators i.e. GCF of 4690,5355 is 35 .

LCM of Denominators means LCM of 904,3578 as per the given fractions.

LCM of 904,3578 is 1617256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4690,5355

GCF of Fractions 4690/904,5355/3578 is 35/1617256

5 4690, 5355
7 938, 1071
134, 153

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 4690,5355 By Matching Biggest Common Factor Method

Greatest Common Factor of 4690,5355 By Matching Biggest Common Factor Method

Factors of 4690

List of positive integer factors of 4690 that divides 4690 without a remainder.

1,2,5,7,10,14,35,67,70,134,335,469,670,938,2345,4690

Factors of 5355

List of positive integer factors of 5355 that divides 5355 without a remainder.

1,3,5,7,9,15,17,21,35,45,51,63,85,105,119,153,255,315,357,595,765,1071,1785,5355

Greatest Common Factor

We found the factors 4690,5355 . The biggest common factor number is the GCF number.
So the greatest common factor 4690,5355 is 35.

Lets's calculate LCM of 904,3578

2 904, 3578
452, 1789

∴ So the LCM of the given numbers is 2 x 452 x 1789 = 1617256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/1617256

Therefore, the GCF of Fractions 4690/904,5355/3578 is 35/1617256

Least Common Multiple of 904,3578 with GCF Formula

Least Common Multiple of 904,3578 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 904,3578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,3578) = 2

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

GCF(904,3578) x common factors =2 x 1 = 2

LCM(904,3578) = ( 904 × 3578 ) / 2

LCM(904,3578) = 3234512 / 2

LCM(904,3578) = 1617256


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 4690/904, 5355/3578

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 4690/904, 5355/3578?

Answer: GCF of Numerators as per given numbers 4690/904, 5355/3578 is

GCF of Numerators i.e. for 4690,5355 is 35

LCM of denominators i.e. for 904,3578 is 1617256.

Thus, GCF of Fractions is 35/1617256.Finally, GCF of Fractions for 4690/904, 5355/3578 is 35/1617256.