Greatest Common Factor of 44/743, 309/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/743, 309/553

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 44/743,309/553

Given fractions are 44/743,309/553

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 44,309

Greatest Common Factor of Numerators i.e. GCF of 44,309 is 1 .

LCM of Denominators means LCM of 743,553 as per the given fractions.

LCM of 743,553 is 410879 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,309

GCF of Fractions 44/743,309/553 is 1/410879

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

Greatest Common Factor of 44,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,309 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 44,309 . The biggest common factor number is the GCF number.
So the greatest common factor 44,309 is 1.

Lets's calculate LCM of 743,553

Given numbers has no common factors except 1. So, there LCM is their product i.e 410879

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410879

Therefore, the GCF of Fractions 44/743,309/553 is 1/410879

Least Common Multiple of 743,553 with GCF Formula

Least Common Multiple of 743,553 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 743,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,553) = 1

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

GCF(743,553) x common factors =1 x 1 = 1

LCM(743,553) = ( 743 × 553 ) / 1

LCM(743,553) = 410879 / 1

LCM(743,553) = 410879


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 44/743, 309/553

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 44/743, 309/553?

Answer: GCF of Numerators as per given numbers 44/743, 309/553 is

GCF of Numerators i.e. for 44,309 is 1

LCM of denominators i.e. for 743,553 is 410879.

Thus, GCF of Fractions is 1/410879.Finally, GCF of Fractions for 44/743, 309/553 is 1/410879.