Greatest Common Factor of 483/5614, 273/4302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 483/5614, 273/4302

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 483/5614,273/4302

Given fractions are 483/5614,273/4302

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 483,273

Greatest Common Factor of Numerators i.e. GCF of 483,273 is 21 .

LCM of Denominators means LCM of 5614,4302 as per the given fractions.

LCM of 5614,4302 is 12075714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 483,273

GCF of Fractions 483/5614,273/4302 is 21/12075714

3 483, 273
7 161, 91
23, 13

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 483,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,273 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 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 483,273 . The biggest common factor number is the GCF number.
So the greatest common factor 483,273 is 21.

Lets's calculate LCM of 5614,4302

2 5614, 4302
2807, 2151

∴ So the LCM of the given numbers is 2 x 2807 x 2151 = 12075714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/12075714

Therefore, the GCF of Fractions 483/5614,273/4302 is 21/12075714

Least Common Multiple of 5614,4302 with GCF Formula

Least Common Multiple of 5614,4302 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 5614,4302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5614,4302) = 2

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

GCF(5614,4302) x common factors =2 x 1 = 2

LCM(5614,4302) = ( 5614 × 4302 ) / 2

LCM(5614,4302) = 24151428 / 2

LCM(5614,4302) = 12075714


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 483/5614, 273/4302

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 483/5614, 273/4302?

Answer: GCF of Numerators as per given numbers 483/5614, 273/4302 is

GCF of Numerators i.e. for 483,273 is 21

LCM of denominators i.e. for 5614,4302 is 12075714.

Thus, GCF of Fractions is 21/12075714.Finally, GCF of Fractions for 483/5614, 273/4302 is 21/12075714.