Greatest Common Factor of 11/542, 223/845, 345/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/542, 223/845, 345/344

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 11/542,223/845,345/344

Given fractions are 11/542,223/845,345/344

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 11,223,345

Greatest Common Factor of Numerators i.e. GCF of 11,223,345 is 1 .

LCM of Denominators means LCM of 542,845,344 as per the given fractions.

LCM of 542,845,344 is 78774280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,223,345

GCF of Fractions 11/542,223/845,345/344 is 1/78774280

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

Greatest Common Factor of 11,223,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,223,345 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 223

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

1,223

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 11,223,345 . The biggest common factor number is the GCF number.
So the greatest common factor 11,223,345 is 1.

Lets's calculate LCM of 542,845,344

2 542, 845, 344
271, 845, 172

∴ So the LCM of the given numbers is 2 x 271 x 845 x 172 = 78774280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78774280

Therefore, the GCF of Fractions 11/542,223/845,345/344 is 1/78774280

Least Common Multiple of 542,845,344 with GCF Formula

Least Common Multiple of 542,845,344 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 542,845,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,845,344) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(542,845,344) x common factors =1 x 2 = 2

LCM(542,845,344) = ( 542 × 845 × 344 ) / 2

LCM(542,845,344) = 157548560 / 2

LCM(542,845,344) = 78774280


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 11/542, 223/845, 345/344

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 11/542, 223/845, 345/344?

Answer: GCF of Numerators as per given numbers 11/542, 223/845, 345/344 is

GCF of Numerators i.e. for 11,223,345 is 1

LCM of denominators i.e. for 542,845,344 is 78774280.

Thus, GCF of Fractions is 1/78774280.Finally, GCF of Fractions for 11/542, 223/845, 345/344 is 1/78774280.