Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 305/333,875/828,145/915
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 305,875,145
Greatest Common Factor of Numerators i.e. GCF of 305,875,145 is 5 .
LCM of Denominators means LCM of 333,828,915 as per the given fractions.
LCM of 333,828,915 is 9343980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 305,875,145
5 | 305, 875, 145 |
61, 175, 29 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Greatest Common Factor
We found the factors 305,875,145 . The biggest common factor number is the GCF number.
So the greatest common factor 305,875,145 is 5.
Lets's calculate LCM of 333,828,915
3 | 333, 828, 915 |
3 | 111, 276, 305 |
37, 92, 305 |
∴ So the LCM of the given numbers is 3 x 3 x 37 x 92 x 305 = 9343980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9343980
Therefore, the GCF of Fractions 305/333,875/828,145/915 is 5/9343980
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 333,828,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,828,915) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(333,828,915) x common factors =3 x 9 = 27
LCM(333,828,915) = ( 333 × 828 × 915 ) / 27
LCM(333,828,915) = 252287460 / 27
LCM(333,828,915) = 9343980
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 305/333, 875/828, 145/915?
Answer: GCF of Numerators as per given numbers 305/333, 875/828, 145/915 is
GCF of Numerators i.e. for 305,875,145 is 5
LCM of denominators i.e. for 333,828,915 is 9343980.
Thus, GCF of Fractions is 5/9343980.Finally, GCF of Fractions for 305/333, 875/828, 145/915 is 5/9343980.