Greatest Common Factor of 13/18, 289/78, 132/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/18, 289/78, 132/730

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 13/18,289/78,132/730

Given fractions are 13/18,289/78,132/730

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 13,289,132

Greatest Common Factor of Numerators i.e. GCF of 13,289,132 is 1 .

LCM of Denominators means LCM of 18,78,730 as per the given fractions.

LCM of 18,78,730 is 85410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,289,132

GCF of Fractions 13/18,289/78,132/730 is 1/85410

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

Greatest Common Factor of 13,289,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,289,132 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

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

Greatest Common Factor

We found the factors 13,289,132 . The biggest common factor number is the GCF number.
So the greatest common factor 13,289,132 is 1.

Lets's calculate LCM of 18,78,730

2 18, 78, 730
3 9, 39, 365
3, 13, 365

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 365 = 85410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85410

Therefore, the GCF of Fractions 13/18,289/78,132/730 is 1/85410

Least Common Multiple of 18,78,730 with GCF Formula

Least Common Multiple of 18,78,730 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 18,78,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,78,730) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(18,78,730) x common factors =2 x 6 = 12

LCM(18,78,730) = ( 18 × 78 × 730 ) / 12

LCM(18,78,730) = 1024920 / 12

LCM(18,78,730) = 85410


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 13/18, 289/78, 132/730

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 13/18, 289/78, 132/730?

Answer: GCF of Numerators as per given numbers 13/18, 289/78, 132/730 is

GCF of Numerators i.e. for 13,289,132 is 1

LCM of denominators i.e. for 18,78,730 is 85410.

Thus, GCF of Fractions is 1/85410.Finally, GCF of Fractions for 13/18, 289/78, 132/730 is 1/85410.