Greatest Common Factor of 3133/542, 3308/6600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3133/542, 3308/6600

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 3133/542,3308/6600

Given fractions are 3133/542,3308/6600

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 3133,3308

Greatest Common Factor of Numerators i.e. GCF of 3133,3308 is 1 .

LCM of Denominators means LCM of 542,6600 as per the given fractions.

LCM of 542,6600 is 1788600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3133,3308

GCF of Fractions 3133/542,3308/6600 is 1/1788600

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3133,3308 By Matching Biggest Common Factor Method

Greatest Common Factor of 3133,3308 By Matching Biggest Common Factor Method

Factors of 3133

List of positive integer factors of 3133 that divides 3133 without a remainder.

1,13,241,3133

Factors of 3308

List of positive integer factors of 3308 that divides 3308 without a remainder.

1,2,4,827,1654,3308

Greatest Common Factor

We found the factors 3133,3308 . The biggest common factor number is the GCF number.
So the greatest common factor 3133,3308 is 1.

Lets's calculate LCM of 542,6600

2 542, 6600
271, 3300

∴ So the LCM of the given numbers is 2 x 271 x 3300 = 1788600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1788600

Therefore, the GCF of Fractions 3133/542,3308/6600 is 1/1788600

Least Common Multiple of 542,6600 with GCF Formula

Least Common Multiple of 542,6600 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 542,6600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,6600) = 2

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

GCF(542,6600) x common factors =2 x 1 = 2

LCM(542,6600) = ( 542 × 6600 ) / 2

LCM(542,6600) = 3577200 / 2

LCM(542,6600) = 1788600


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 3133/542, 3308/6600

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 3133/542, 3308/6600?

Answer: GCF of Numerators as per given numbers 3133/542, 3308/6600 is

GCF of Numerators i.e. for 3133,3308 is 1

LCM of denominators i.e. for 542,6600 is 1788600.

Thus, GCF of Fractions is 1/1788600.Finally, GCF of Fractions for 3133/542, 3308/6600 is 1/1788600.