Greatest Common Factor of 819/312, 3032/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/312, 3032/987

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 819/312,3032/987

Given fractions are 819/312,3032/987

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 819,3032

Greatest Common Factor of Numerators i.e. GCF of 819,3032 is 1 .

LCM of Denominators means LCM of 312,987 as per the given fractions.

LCM of 312,987 is 102648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,3032

GCF of Fractions 819/312,3032/987 is 1/102648

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

Greatest Common Factor of 819,3032 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,3032 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 3032

List of positive integer factors of 3032 that divides 3032 without a remainder.

1,2,4,8,379,758,1516,3032

Greatest Common Factor

We found the factors 819,3032 . The biggest common factor number is the GCF number.
So the greatest common factor 819,3032 is 1.

Lets's calculate LCM of 312,987

3 312, 987
104, 329

∴ So the LCM of the given numbers is 3 x 104 x 329 = 102648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102648

Therefore, the GCF of Fractions 819/312,3032/987 is 1/102648

Least Common Multiple of 312,987 with GCF Formula

Least Common Multiple of 312,987 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 312,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,987) = 3

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

GCF(312,987) x common factors =3 x 1 = 3

LCM(312,987) = ( 312 × 987 ) / 3

LCM(312,987) = 307944 / 3

LCM(312,987) = 102648


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 819/312, 3032/987

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 819/312, 3032/987?

Answer: GCF of Numerators as per given numbers 819/312, 3032/987 is

GCF of Numerators i.e. for 819,3032 is 1

LCM of denominators i.e. for 312,987 is 102648.

Thus, GCF of Fractions is 1/102648.Finally, GCF of Fractions for 819/312, 3032/987 is 1/102648.