Greatest Common Factor of 7/39, 54/20, 66/130, 171/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/39, 54/20, 66/130, 171/540

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 7/39,54/20,66/130,171/540

Given fractions are 7/39,54/20,66/130,171/540

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 7,54,66,171

Greatest Common Factor of Numerators i.e. GCF of 7,54,66,171 is 1 .

LCM of Denominators means LCM of 39,20,130,540 as per the given fractions.

LCM of 39,20,130,540 is 7020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,54,66,171

GCF of Fractions 7/39,54/20,66/130,171/540 is 1/7020

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

Greatest Common Factor of 7,54,66,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,54,66,171 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 7,54,66,171 . The biggest common factor number is the GCF number.
So the greatest common factor 7,54,66,171 is 1.

Lets's calculate LCM of 39,20,130,540

2 39, 20, 130, 540
2 39, 10, 65, 270
3 39, 5, 65, 135
5 13, 5, 65, 45
13 13, 1, 13, 9
1, 1, 1, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 13 x 1 x 1 x 1 x 9 = 7020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7020

Therefore, the GCF of Fractions 7/39,54/20,66/130,171/540 is 1/7020

Least Common Multiple of 39,20,130,540 with GCF Formula

Least Common Multiple of 39,20,130,540 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 39,20,130,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,20,130,540) = 1

common factors(in case of two or more numbers have common factors) = 7800

GCF(39,20,130,540) x common factors =1 x 7800 = 7800

LCM(39,20,130,540) = ( 39 × 20 × 130 × 540 ) / 7800

LCM(39,20,130,540) = 54756000 / 7800

LCM(39,20,130,540) = 7020


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 7/39, 54/20, 66/130, 171/540

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 7/39, 54/20, 66/130, 171/540?

Answer: GCF of Numerators as per given numbers 7/39, 54/20, 66/130, 171/540 is

GCF of Numerators i.e. for 7,54,66,171 is 1

LCM of denominators i.e. for 39,20,130,540 is 7020.

Thus, GCF of Fractions is 1/7020.Finally, GCF of Fractions for 7/39, 54/20, 66/130, 171/540 is 1/7020.