Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 386/39,108/33,300/247
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 386,108,300
Greatest Common Factor of Numerators i.e. GCF of 386,108,300 is 2 .
LCM of Denominators means LCM of 39,33,247 as per the given fractions.
LCM of 39,33,247 is 8151 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 386,108,300
2 | 386, 108, 300 |
193, 54, 150 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 386,108,300 . The biggest common factor number is the GCF number.
So the greatest common factor 386,108,300 is 2.
Lets's calculate LCM of 39,33,247
3 | 39, 33, 247 |
13 | 13, 11, 247 |
1, 11, 19 |
∴ So the LCM of the given numbers is 3 x 13 x 1 x 11 x 19 = 8151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8151
Therefore, the GCF of Fractions 386/39,108/33,300/247 is 2/8151
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 39,33,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,33,247) = 1
common factors(in case of two or more numbers have common factors) = 39
GCF(39,33,247) x common factors =1 x 39 = 39
LCM(39,33,247) = ( 39 × 33 × 247 ) / 39
LCM(39,33,247) = 317889 / 39
LCM(39,33,247) = 8151
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 386/39, 108/33, 300/247?
Answer: GCF of Numerators as per given numbers 386/39, 108/33, 300/247 is
GCF of Numerators i.e. for 386,108,300 is 2
LCM of denominators i.e. for 39,33,247 is 8151.
Thus, GCF of Fractions is 2/8151.Finally, GCF of Fractions for 386/39, 108/33, 300/247 is 2/8151.