Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 305/57,244/600
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 305,244
Greatest Common Factor of Numerators i.e. GCF of 305,244 is 61 .
LCM of Denominators means LCM of 57,600 as per the given fractions.
LCM of 57,600 is 11400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 305,244
61 | 305, 244 |
5, 4 |
∴ So the GCF of the given numbers is 61 = 61
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 305,244 . The biggest common factor number is the GCF number.
So the greatest common factor 305,244 is 61.
Lets's calculate LCM of 57,600
3 | 57, 600 |
19, 200 |
∴ So the LCM of the given numbers is 3 x 19 x 200 = 11400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/11400
Therefore, the GCF of Fractions 305/57,244/600 is 61/11400
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 57,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,600) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(57,600) x common factors =3 x 1 = 3
LCM(57,600) = ( 57 × 600 ) / 3
LCM(57,600) = 34200 / 3
LCM(57,600) = 11400
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 305/57, 244/600?
Answer: GCF of Numerators as per given numbers 305/57, 244/600 is
GCF of Numerators i.e. for 305,244 is 61
LCM of denominators i.e. for 57,600 is 11400.
Thus, GCF of Fractions is 61/11400.Finally, GCF of Fractions for 305/57, 244/600 is 61/11400.