Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/21,66/23,144/248
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 33,66,144
Greatest Common Factor of Numerators i.e. GCF of 33,66,144 is 3 .
LCM of Denominators means LCM of 21,23,248 as per the given fractions.
LCM of 21,23,248 is 119784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 33,66,144
3 | 33, 66, 144 |
11, 22, 48 |
∴ 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 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Greatest Common Factor
We found the factors 33,66,144 . The biggest common factor number is the GCF number.
So the greatest common factor 33,66,144 is 3.
Lets's calculate LCM of 21,23,248
Given numbers has no common factors except 1. So, there LCM is their product i.e 119784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/119784
Therefore, the GCF of Fractions 33/21,66/23,144/248 is 3/119784
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 21,23,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,23,248) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,23,248) x common factors =1 x 1 = 1
LCM(21,23,248) = ( 21 × 23 × 248 ) / 1
LCM(21,23,248) = 119784 / 1
LCM(21,23,248) = 119784
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, 66/23, 144/248?
Answer: GCF of Numerators as per given numbers 33/21, 66/23, 144/248 is
GCF of Numerators i.e. for 33,66,144 is 3
LCM of denominators i.e. for 21,23,248 is 119784.
Thus, GCF of Fractions is 3/119784.Finally, GCF of Fractions for 33/21, 66/23, 144/248 is 3/119784.