Greatest Common Factor of 443/318, 404/143, 344/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 443/318, 404/143, 344/749

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 443/318,404/143,344/749

Given fractions are 443/318,404/143,344/749

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 443,404,344

Greatest Common Factor of Numerators i.e. GCF of 443,404,344 is 1 .

LCM of Denominators means LCM of 318,143,749 as per the given fractions.

LCM of 318,143,749 is 34060026 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 443,404,344

GCF of Fractions 443/318,404/143,344/749 is 1/34060026

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

Greatest Common Factor of 443,404,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,404,344 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 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 443,404,344 . The biggest common factor number is the GCF number.
So the greatest common factor 443,404,344 is 1.

Lets's calculate LCM of 318,143,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 34060026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34060026

Therefore, the GCF of Fractions 443/318,404/143,344/749 is 1/34060026

Least Common Multiple of 318,143,749 with GCF Formula

Least Common Multiple of 318,143,749 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 318,143,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,143,749) = 1

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

GCF(318,143,749) x common factors =1 x 1 = 1

LCM(318,143,749) = ( 318 × 143 × 749 ) / 1

LCM(318,143,749) = 34060026 / 1

LCM(318,143,749) = 34060026


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 443/318, 404/143, 344/749

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 443/318, 404/143, 344/749?

Answer: GCF of Numerators as per given numbers 443/318, 404/143, 344/749 is

GCF of Numerators i.e. for 443,404,344 is 1

LCM of denominators i.e. for 318,143,749 is 34060026.

Thus, GCF of Fractions is 1/34060026.Finally, GCF of Fractions for 443/318, 404/143, 344/749 is 1/34060026.