Greatest Common Factor of 2313/509, 1828/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2313/509, 1828/728

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 2313/509,1828/728

Given fractions are 2313/509,1828/728

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 2313,1828

Greatest Common Factor of Numerators i.e. GCF of 2313,1828 is 1 .

LCM of Denominators means LCM of 509,728 as per the given fractions.

LCM of 509,728 is 370552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2313,1828

GCF of Fractions 2313/509,1828/728 is 1/370552

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

Greatest Common Factor of 2313,1828 By Matching Biggest Common Factor Method

Greatest Common Factor of 2313,1828 By Matching Biggest Common Factor Method

Factors of 2313

List of positive integer factors of 2313 that divides 2313 without a remainder.

1,3,9,257,771,2313

Factors of 1828

List of positive integer factors of 1828 that divides 1828 without a remainder.

1,2,4,457,914,1828

Greatest Common Factor

We found the factors 2313,1828 . The biggest common factor number is the GCF number.
So the greatest common factor 2313,1828 is 1.

Lets's calculate LCM of 509,728

Given numbers has no common factors except 1. So, there LCM is their product i.e 370552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/370552

Therefore, the GCF of Fractions 2313/509,1828/728 is 1/370552

Least Common Multiple of 509,728 with GCF Formula

Least Common Multiple of 509,728 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 509,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,728) = 1

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

GCF(509,728) x common factors =1 x 1 = 1

LCM(509,728) = ( 509 × 728 ) / 1

LCM(509,728) = 370552 / 1

LCM(509,728) = 370552


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 2313/509, 1828/728

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 2313/509, 1828/728?

Answer: GCF of Numerators as per given numbers 2313/509, 1828/728 is

GCF of Numerators i.e. for 2313,1828 is 1

LCM of denominators i.e. for 509,728 is 370552.

Thus, GCF of Fractions is 1/370552.Finally, GCF of Fractions for 2313/509, 1828/728 is 1/370552.