Greatest Common Factor of 443/83, 483/27, 144/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 443/83, 483/27, 144/175

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 443/83,483/27,144/175

Given fractions are 443/83,483/27,144/175

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 443,483,144

Greatest Common Factor of Numerators i.e. GCF of 443,483,144 is 1 .

LCM of Denominators means LCM of 83,27,175 as per the given fractions.

LCM of 83,27,175 is 392175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 443,483,144

GCF of Fractions 443/83,483/27,144/175 is 1/392175

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

Greatest Common Factor of 443,483,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,483,144 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

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 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 443,483,144 . The biggest common factor number is the GCF number.
So the greatest common factor 443,483,144 is 1.

Lets's calculate LCM of 83,27,175

Given numbers has no common factors except 1. So, there LCM is their product i.e 392175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392175

Therefore, the GCF of Fractions 443/83,483/27,144/175 is 1/392175

Least Common Multiple of 83,27,175 with GCF Formula

Least Common Multiple of 83,27,175 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 83,27,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,27,175) = 1

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

GCF(83,27,175) x common factors =1 x 1 = 1

LCM(83,27,175) = ( 83 × 27 × 175 ) / 1

LCM(83,27,175) = 392175 / 1

LCM(83,27,175) = 392175


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 443/83, 483/27, 144/175

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 443/83, 483/27, 144/175?

Answer: GCF of Numerators as per given numbers 443/83, 483/27, 144/175 is

GCF of Numerators i.e. for 443,483,144 is 1

LCM of denominators i.e. for 83,27,175 is 392175.

Thus, GCF of Fractions is 1/392175.Finally, GCF of Fractions for 443/83, 483/27, 144/175 is 1/392175.