Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/21,12/150,648/440
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 33,12,648
Greatest Common Factor of Numerators i.e. GCF of 33,12,648 is 3 .
LCM of Denominators means LCM of 21,150,440 as per the given fractions.
LCM of 21,150,440 is 46200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 33,12,648
3 | 33, 12, 648 |
11, 4, 216 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 33,12,648 . The biggest common factor number is the GCF number.
So the greatest common factor 33,12,648 is 3.
Lets's calculate LCM of 21,150,440
2 | 21, 150, 440 |
3 | 21, 75, 220 |
5 | 7, 25, 220 |
7, 5, 44 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 5 x 44 = 46200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/46200
Therefore, the GCF of Fractions 33/21,12/150,648/440 is 3/46200
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 21,150,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,150,440) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(21,150,440) x common factors =1 x 30 = 30
LCM(21,150,440) = ( 21 × 150 × 440 ) / 30
LCM(21,150,440) = 1386000 / 30
LCM(21,150,440) = 46200
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 33/21, 12/150, 648/440?
Answer: GCF of Numerators as per given numbers 33/21, 12/150, 648/440 is
GCF of Numerators i.e. for 33,12,648 is 3
LCM of denominators i.e. for 21,150,440 is 46200.
Thus, GCF of Fractions is 3/46200.Finally, GCF of Fractions for 33/21, 12/150, 648/440 is 3/46200.