Greatest Common Factor of 483/330, 1196/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 483/330, 1196/535

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 483/330,1196/535

Given fractions are 483/330,1196/535

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 483,1196

Greatest Common Factor of Numerators i.e. GCF of 483,1196 is 23 .

LCM of Denominators means LCM of 330,535 as per the given fractions.

LCM of 330,535 is 35310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 483,1196

GCF of Fractions 483/330,1196/535 is 23/35310

23 483, 1196
21, 52

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 483,1196 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,1196 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 1196

List of positive integer factors of 1196 that divides 1196 without a remainder.

1,2,4,13,23,26,46,52,92,299,598,1196

Greatest Common Factor

We found the factors 483,1196 . The biggest common factor number is the GCF number.
So the greatest common factor 483,1196 is 23.

Lets's calculate LCM of 330,535

5 330, 535
66, 107

∴ So the LCM of the given numbers is 5 x 66 x 107 = 35310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/35310

Therefore, the GCF of Fractions 483/330,1196/535 is 23/35310

Least Common Multiple of 330,535 with GCF Formula

Least Common Multiple of 330,535 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 330,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,535) = 5

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

GCF(330,535) x common factors =5 x 1 = 5

LCM(330,535) = ( 330 × 535 ) / 5

LCM(330,535) = 176550 / 5

LCM(330,535) = 35310


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 483/330, 1196/535

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 483/330, 1196/535?

Answer: GCF of Numerators as per given numbers 483/330, 1196/535 is

GCF of Numerators i.e. for 483,1196 is 23

LCM of denominators i.e. for 330,535 is 35310.

Thus, GCF of Fractions is 23/35310.Finally, GCF of Fractions for 483/330, 1196/535 is 23/35310.