Greatest Common Factor of 138/81, 132/53, 550/52

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 138/81, 132/53, 550/52

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 138/81,132/53,550/52

Given fractions are 138/81,132/53,550/52

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 138,132,550

Greatest Common Factor of Numerators i.e. GCF of 138,132,550 is 2 .

LCM of Denominators means LCM of 81,53,52 as per the given fractions.

LCM of 81,53,52 is 223236 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 138,132,550

GCF of Fractions 138/81,132/53,550/52 is 2/223236

2 138, 132, 550
69, 66, 275

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

Greatest Common Factor of 138,132,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,132,550 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 138,132,550 . The biggest common factor number is the GCF number.
So the greatest common factor 138,132,550 is 2.

Lets's calculate LCM of 81,53,52

Given numbers has no common factors except 1. So, there LCM is their product i.e 223236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/223236

Therefore, the GCF of Fractions 138/81,132/53,550/52 is 2/223236

Least Common Multiple of 81,53,52 with GCF Formula

Least Common Multiple of 81,53,52 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 81,53,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,53,52) = 1

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

GCF(81,53,52) x common factors =1 x 1 = 1

LCM(81,53,52) = ( 81 × 53 × 52 ) / 1

LCM(81,53,52) = 223236 / 1

LCM(81,53,52) = 223236


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 138/81, 132/53, 550/52

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 138/81, 132/53, 550/52?

Answer: GCF of Numerators as per given numbers 138/81, 132/53, 550/52 is

GCF of Numerators i.e. for 138,132,550 is 2

LCM of denominators i.e. for 81,53,52 is 223236.

Thus, GCF of Fractions is 2/223236.Finally, GCF of Fractions for 138/81, 132/53, 550/52 is 2/223236.