Greatest Common Factor of 6045/62, 3315/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6045/62, 3315/789

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 6045/62,3315/789

Given fractions are 6045/62,3315/789

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 6045,3315

Greatest Common Factor of Numerators i.e. GCF of 6045,3315 is 195 .

LCM of Denominators means LCM of 62,789 as per the given fractions.

LCM of 62,789 is 48918 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6045,3315

GCF of Fractions 6045/62,3315/789 is 195/48918

3 6045, 3315
5 2015, 1105
13 403, 221
31, 17

∴ So the GCF of the given numbers is 3 x 5 x 13 = 195

Greatest Common Factor of 6045,3315 By Matching Biggest Common Factor Method

Greatest Common Factor of 6045,3315 By Matching Biggest Common Factor Method

Factors of 6045

List of positive integer factors of 6045 that divides 6045 without a remainder.

1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045

Factors of 3315

List of positive integer factors of 3315 that divides 3315 without a remainder.

1,3,5,13,15,17,39,51,65,85,195,221,255,663,1105,3315

Greatest Common Factor

We found the factors 6045,3315 . The biggest common factor number is the GCF number.
So the greatest common factor 6045,3315 is 195.

Lets's calculate LCM of 62,789

Given numbers has no common factors except 1. So, there LCM is their product i.e 48918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 195/48918

Therefore, the GCF of Fractions 6045/62,3315/789 is 195/48918

Least Common Multiple of 62,789 with GCF Formula

Least Common Multiple of 62,789 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 62,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,789) = 1

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

GCF(62,789) x common factors =1 x 1 = 1

LCM(62,789) = ( 62 × 789 ) / 1

LCM(62,789) = 48918 / 1

LCM(62,789) = 48918


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 6045/62, 3315/789

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 6045/62, 3315/789?

Answer: GCF of Numerators as per given numbers 6045/62, 3315/789 is

GCF of Numerators i.e. for 6045,3315 is 195

LCM of denominators i.e. for 62,789 is 48918.

Thus, GCF of Fractions is 195/48918.Finally, GCF of Fractions for 6045/62, 3315/789 is 195/48918.