Greatest Common Factor of 483/48, 556/51, 320/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 483/48, 556/51, 320/341

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 483/48,556/51,320/341

Given fractions are 483/48,556/51,320/341

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 483,556,320

Greatest Common Factor of Numerators i.e. GCF of 483,556,320 is 1 .

LCM of Denominators means LCM of 48,51,341 as per the given fractions.

LCM of 48,51,341 is 278256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 483,556,320

GCF of Fractions 483/48,556/51,320/341 is 1/278256

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

Greatest Common Factor of 483,556,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,556,320 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 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 483,556,320 . The biggest common factor number is the GCF number.
So the greatest common factor 483,556,320 is 1.

Lets's calculate LCM of 48,51,341

3 48, 51, 341
16, 17, 341

∴ So the LCM of the given numbers is 3 x 16 x 17 x 341 = 278256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278256

Therefore, the GCF of Fractions 483/48,556/51,320/341 is 1/278256

Least Common Multiple of 48,51,341 with GCF Formula

Least Common Multiple of 48,51,341 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 48,51,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,51,341) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(48,51,341) x common factors =1 x 3 = 3

LCM(48,51,341) = ( 48 × 51 × 341 ) / 3

LCM(48,51,341) = 834768 / 3

LCM(48,51,341) = 278256


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 483/48, 556/51, 320/341

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 483/48, 556/51, 320/341?

Answer: GCF of Numerators as per given numbers 483/48, 556/51, 320/341 is

GCF of Numerators i.e. for 483,556,320 is 1

LCM of denominators i.e. for 48,51,341 is 278256.

Thus, GCF of Fractions is 1/278256.Finally, GCF of Fractions for 483/48, 556/51, 320/341 is 1/278256.