Greatest Common Factor of 244/743, 110/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 244/743, 110/672

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 244/743,110/672

Given fractions are 244/743,110/672

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 244,110

Greatest Common Factor of Numerators i.e. GCF of 244,110 is 2 .

LCM of Denominators means LCM of 743,672 as per the given fractions.

LCM of 743,672 is 499296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 244,110

GCF of Fractions 244/743,110/672 is 2/499296

2 244, 110
122, 55

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 244,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,110 By Matching Biggest Common Factor Method

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 244,110 . The biggest common factor number is the GCF number.
So the greatest common factor 244,110 is 2.


Lets's calculate LCM of 743,672

Given numbers has no common factors except 1. So, there LCM is their product i.e 499296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/499296

Therefore, the GCF of Fractions 244/743,110/672 is 2/499296

Least Common Multiple of 743,672 with GCF Formula

Least Common Multiple of 743,672 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 743,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,672) = 1

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

GCF(743,672) x common factors =1 x 1 = 1

LCM(743,672) = ( 743 × 672 ) / 1

LCM(743,672) = 499296 / 1

LCM(743,672) = 499296


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 244/743, 110/672

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 244/743, 110/672?

Answer: GCF of Numerators as per given numbers 244/743, 110/672 is

GCF of Numerators i.e. for 244,110 is 2

LCM of denominators i.e. for 743,672 is 499296.

Thus, GCF of Fractions is 2/499296.Finally, GCF of Fractions for 244/743, 110/672 is 2/499296.