Greatest Common Factor of 345/993, 7287/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 345/993, 7287/987

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 345/993,7287/987

Given fractions are 345/993,7287/987

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 345,7287

Greatest Common Factor of Numerators i.e. GCF of 345,7287 is 3 .

LCM of Denominators means LCM of 993,987 as per the given fractions.

LCM of 993,987 is 326697 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 345,7287

GCF of Fractions 345/993,7287/987 is 3/326697

3 345, 7287
115, 2429

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 345,7287 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,7287 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 7287

List of positive integer factors of 7287 that divides 7287 without a remainder.

1,3,7,21,347,1041,2429,7287

Greatest Common Factor

We found the factors 345,7287 . The biggest common factor number is the GCF number.
So the greatest common factor 345,7287 is 3.

Lets's calculate LCM of 993,987

3 993, 987
331, 329

∴ So the LCM of the given numbers is 3 x 331 x 329 = 326697

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/326697

Therefore, the GCF of Fractions 345/993,7287/987 is 3/326697

Least Common Multiple of 993,987 with GCF Formula

Least Common Multiple of 993,987 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 993,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,987) = 3

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

GCF(993,987) x common factors =3 x 1 = 3

LCM(993,987) = ( 993 × 987 ) / 3

LCM(993,987) = 980091 / 3

LCM(993,987) = 326697


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 345/993, 7287/987

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 345/993, 7287/987?

Answer: GCF of Numerators as per given numbers 345/993, 7287/987 is

GCF of Numerators i.e. for 345,7287 is 3

LCM of denominators i.e. for 993,987 is 326697.

Thus, GCF of Fractions is 3/326697.Finally, GCF of Fractions for 345/993, 7287/987 is 3/326697.