Greatest Common Factor of 409/904, 2312/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 409/904, 2312/356

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 409/904,2312/356

Given fractions are 409/904,2312/356

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 409,2312

Greatest Common Factor of Numerators i.e. GCF of 409,2312 is 1 .

LCM of Denominators means LCM of 904,356 as per the given fractions.

LCM of 904,356 is 80456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 409,2312

GCF of Fractions 409/904,2312/356 is 1/80456

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 409,2312 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,2312 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 2312

List of positive integer factors of 2312 that divides 2312 without a remainder.

1,2,4,8,17,34,68,136,289,578,1156,2312

Greatest Common Factor

We found the factors 409,2312 . The biggest common factor number is the GCF number.
So the greatest common factor 409,2312 is 1.

Lets's calculate LCM of 904,356

2 904, 356
2 452, 178
226, 89

∴ So the LCM of the given numbers is 2 x 2 x 226 x 89 = 80456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80456

Therefore, the GCF of Fractions 409/904,2312/356 is 1/80456

Least Common Multiple of 904,356 with GCF Formula

Least Common Multiple of 904,356 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 904,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,356) = 4

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

GCF(904,356) x common factors =4 x 1 = 4

LCM(904,356) = ( 904 × 356 ) / 4

LCM(904,356) = 321824 / 4

LCM(904,356) = 80456


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 409/904, 2312/356

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 409/904, 2312/356?

Answer: GCF of Numerators as per given numbers 409/904, 2312/356 is

GCF of Numerators i.e. for 409,2312 is 1

LCM of denominators i.e. for 904,356 is 80456.

Thus, GCF of Fractions is 1/80456.Finally, GCF of Fractions for 409/904, 2312/356 is 1/80456.