Greatest Common Factor of 3378/21, 8728/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3378/21, 8728/146

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 3378/21,8728/146

Given fractions are 3378/21,8728/146

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 3378,8728

Greatest Common Factor of Numerators i.e. GCF of 3378,8728 is 2 .

LCM of Denominators means LCM of 21,146 as per the given fractions.

LCM of 21,146 is 3066 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3378,8728

GCF of Fractions 3378/21,8728/146 is 2/3066

2 3378, 8728
1689, 4364

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3378,8728 By Matching Biggest Common Factor Method

Greatest Common Factor of 3378,8728 By Matching Biggest Common Factor Method

Factors of 3378

List of positive integer factors of 3378 that divides 3378 without a remainder.

1,2,3,6,563,1126,1689,3378

Factors of 8728

List of positive integer factors of 8728 that divides 8728 without a remainder.

1,2,4,8,1091,2182,4364,8728

Greatest Common Factor

We found the factors 3378,8728 . The biggest common factor number is the GCF number.
So the greatest common factor 3378,8728 is 2.

Lets's calculate LCM of 21,146

Given numbers has no common factors except 1. So, there LCM is their product i.e 3066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3066

Therefore, the GCF of Fractions 3378/21,8728/146 is 2/3066

Least Common Multiple of 21,146 with GCF Formula

Least Common Multiple of 21,146 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 21,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,146) = 1

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

GCF(21,146) x common factors =1 x 1 = 1

LCM(21,146) = ( 21 × 146 ) / 1

LCM(21,146) = 3066 / 1

LCM(21,146) = 3066


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 3378/21, 8728/146

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 3378/21, 8728/146?

Answer: GCF of Numerators as per given numbers 3378/21, 8728/146 is

GCF of Numerators i.e. for 3378,8728 is 2

LCM of denominators i.e. for 21,146 is 3066.

Thus, GCF of Fractions is 2/3066.Finally, GCF of Fractions for 3378/21, 8728/146 is 2/3066.