Greatest Common Factor of 135/19, 9819/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 135/19, 9819/498

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 135/19,9819/498

Given fractions are 135/19,9819/498

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 135,9819

Greatest Common Factor of Numerators i.e. GCF of 135,9819 is 9 .

LCM of Denominators means LCM of 19,498 as per the given fractions.

LCM of 19,498 is 9462 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 135,9819

GCF of Fractions 135/19,9819/498 is 9/9462

3 135, 9819
3 45, 3273
15, 1091

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 135,9819 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,9819 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 9819

List of positive integer factors of 9819 that divides 9819 without a remainder.

1,3,9,1091,3273,9819

Greatest Common Factor

We found the factors 135,9819 . The biggest common factor number is the GCF number.
So the greatest common factor 135,9819 is 9.

Lets's calculate LCM of 19,498

Given numbers has no common factors except 1. So, there LCM is their product i.e 9462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/9462

Therefore, the GCF of Fractions 135/19,9819/498 is 9/9462

Least Common Multiple of 19,498 with GCF Formula

Least Common Multiple of 19,498 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 19,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,498) = 1

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

GCF(19,498) x common factors =1 x 1 = 1

LCM(19,498) = ( 19 × 498 ) / 1

LCM(19,498) = 9462 / 1

LCM(19,498) = 9462


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 135/19, 9819/498

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 135/19, 9819/498?

Answer: GCF of Numerators as per given numbers 135/19, 9819/498 is

GCF of Numerators i.e. for 135,9819 is 9

LCM of denominators i.e. for 19,498 is 9462.

Thus, GCF of Fractions is 9/9462.Finally, GCF of Fractions for 135/19, 9819/498 is 9/9462.