Greatest Common Factor of 483/3412, 385/9234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 483/3412, 385/9234

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 483/3412,385/9234

Given fractions are 483/3412,385/9234

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 483,385

Greatest Common Factor of Numerators i.e. GCF of 483,385 is 7 .

LCM of Denominators means LCM of 3412,9234 as per the given fractions.

LCM of 3412,9234 is 15753204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 483,385

GCF of Fractions 483/3412,385/9234 is 7/15753204

7 483, 385
69, 55

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 483,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,385 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 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 483,385 . The biggest common factor number is the GCF number.
So the greatest common factor 483,385 is 7.

Lets's calculate LCM of 3412,9234

2 3412, 9234
1706, 4617

∴ So the LCM of the given numbers is 2 x 1706 x 4617 = 15753204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/15753204

Therefore, the GCF of Fractions 483/3412,385/9234 is 7/15753204

Least Common Multiple of 3412,9234 with GCF Formula

Least Common Multiple of 3412,9234 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 3412,9234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3412,9234) = 2

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

GCF(3412,9234) x common factors =2 x 1 = 2

LCM(3412,9234) = ( 3412 × 9234 ) / 2

LCM(3412,9234) = 31506408 / 2

LCM(3412,9234) = 15753204


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 483/3412, 385/9234

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 483/3412, 385/9234?

Answer: GCF of Numerators as per given numbers 483/3412, 385/9234 is

GCF of Numerators i.e. for 483,385 is 7

LCM of denominators i.e. for 3412,9234 is 15753204.

Thus, GCF of Fractions is 7/15753204.Finally, GCF of Fractions for 483/3412, 385/9234 is 7/15753204.