Greatest Common Factor of 378/65, 309/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 378/65, 309/151

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 378/65,309/151

Given fractions are 378/65,309/151

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 378,309

Greatest Common Factor of Numerators i.e. GCF of 378,309 is 3 .

LCM of Denominators means LCM of 65,151 as per the given fractions.

LCM of 65,151 is 9815 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 378,309

GCF of Fractions 378/65,309/151 is 3/9815

3 378, 309
126, 103

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

Greatest Common Factor of 378,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,309 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 378,309 . The biggest common factor number is the GCF number.
So the greatest common factor 378,309 is 3.

Lets's calculate LCM of 65,151

Given numbers has no common factors except 1. So, there LCM is their product i.e 9815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9815

Therefore, the GCF of Fractions 378/65,309/151 is 3/9815

Least Common Multiple of 65,151 with GCF Formula

Least Common Multiple of 65,151 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 65,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,151) = 1

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

GCF(65,151) x common factors =1 x 1 = 1

LCM(65,151) = ( 65 × 151 ) / 1

LCM(65,151) = 9815 / 1

LCM(65,151) = 9815


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 378/65, 309/151

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 378/65, 309/151?

Answer: GCF of Numerators as per given numbers 378/65, 309/151 is

GCF of Numerators i.e. for 378,309 is 3

LCM of denominators i.e. for 65,151 is 9815.

Thus, GCF of Fractions is 3/9815.Finally, GCF of Fractions for 378/65, 309/151 is 3/9815.