Greatest Common Factor of 3279/79, 1230/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3279/79, 1230/146

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 3279/79,1230/146

Given fractions are 3279/79,1230/146

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 3279,1230

Greatest Common Factor of Numerators i.e. GCF of 3279,1230 is 3 .

LCM of Denominators means LCM of 79,146 as per the given fractions.

LCM of 79,146 is 11534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3279,1230

GCF of Fractions 3279/79,1230/146 is 3/11534

3 3279, 1230
1093, 410

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

Greatest Common Factor of 3279,1230 By Matching Biggest Common Factor Method

Greatest Common Factor of 3279,1230 By Matching Biggest Common Factor Method

Factors of 3279

List of positive integer factors of 3279 that divides 3279 without a remainder.

1,3,1093,3279

Factors of 1230

List of positive integer factors of 1230 that divides 1230 without a remainder.

1,2,3,5,6,10,15,30,41,82,123,205,246,410,615,1230

Greatest Common Factor

We found the factors 3279,1230 . The biggest common factor number is the GCF number.
So the greatest common factor 3279,1230 is 3.

Lets's calculate LCM of 79,146

Given numbers has no common factors except 1. So, there LCM is their product i.e 11534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11534

Therefore, the GCF of Fractions 3279/79,1230/146 is 3/11534

Least Common Multiple of 79,146 with GCF Formula

Least Common Multiple of 79,146 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 79,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,146) = 1

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

GCF(79,146) x common factors =1 x 1 = 1

LCM(79,146) = ( 79 × 146 ) / 1

LCM(79,146) = 11534 / 1

LCM(79,146) = 11534


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 3279/79, 1230/146

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 3279/79, 1230/146?

Answer: GCF of Numerators as per given numbers 3279/79, 1230/146 is

GCF of Numerators i.e. for 3279,1230 is 3

LCM of denominators i.e. for 79,146 is 11534.

Thus, GCF of Fractions is 3/11534.Finally, GCF of Fractions for 3279/79, 1230/146 is 3/11534.