Greatest Common Factor of 223/104, 725/723, 544/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 223/104, 725/723, 544/726

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 223/104,725/723,544/726

Given fractions are 223/104,725/723,544/726

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 223,725,544

Greatest Common Factor of Numerators i.e. GCF of 223,725,544 is 1 .

LCM of Denominators means LCM of 104,723,726 as per the given fractions.

LCM of 104,723,726 is 9098232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 223,725,544

GCF of Fractions 223/104,725/723,544/726 is 1/9098232

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

Greatest Common Factor of 223,725,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,725,544 By Matching Biggest Common Factor Method

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 223,725,544 . The biggest common factor number is the GCF number.
So the greatest common factor 223,725,544 is 1.

Lets's calculate LCM of 104,723,726

2 104, 723, 726
3 52, 723, 363
52, 241, 121

∴ So the LCM of the given numbers is 2 x 3 x 52 x 241 x 121 = 9098232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9098232

Therefore, the GCF of Fractions 223/104,725/723,544/726 is 1/9098232

Least Common Multiple of 104,723,726 with GCF Formula

Least Common Multiple of 104,723,726 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 104,723,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,723,726) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(104,723,726) x common factors =1 x 6 = 6

LCM(104,723,726) = ( 104 × 723 × 726 ) / 6

LCM(104,723,726) = 54589392 / 6

LCM(104,723,726) = 9098232


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 223/104, 725/723, 544/726

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 223/104, 725/723, 544/726?

Answer: GCF of Numerators as per given numbers 223/104, 725/723, 544/726 is

GCF of Numerators i.e. for 223,725,544 is 1

LCM of denominators i.e. for 104,723,726 is 9098232.

Thus, GCF of Fractions is 1/9098232.Finally, GCF of Fractions for 223/104, 725/723, 544/726 is 1/9098232.