Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/432,990/339
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 60,990
Greatest Common Factor of Numerators i.e. GCF of 60,990 is 30 .
LCM of Denominators means LCM of 432,339 as per the given fractions.
LCM of 432,339 is 48816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,990
2 | 60, 990 |
3 | 30, 495 |
5 | 10, 165 |
2, 33 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 60,990 . The biggest common factor number is the GCF number.
So the greatest common factor 60,990 is 30.
Lets's calculate LCM of 432,339
3 | 432, 339 |
144, 113 |
∴ So the LCM of the given numbers is 3 x 144 x 113 = 48816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/48816
Therefore, the GCF of Fractions 60/432,990/339 is 30/48816
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 432,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,339) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(432,339) x common factors =3 x 1 = 3
LCM(432,339) = ( 432 × 339 ) / 3
LCM(432,339) = 146448 / 3
LCM(432,339) = 48816
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 60/432, 990/339?
Answer: GCF of Numerators as per given numbers 60/432, 990/339 is
GCF of Numerators i.e. for 60,990 is 30
LCM of denominators i.e. for 432,339 is 48816.
Thus, GCF of Fractions is 30/48816.Finally, GCF of Fractions for 60/432, 990/339 is 30/48816.