Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 384/84,112/5553
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 384,112
Greatest Common Factor of Numerators i.e. GCF of 384,112 is 16 .
LCM of Denominators means LCM of 84,5553 as per the given fractions.
LCM of 84,5553 is 155484 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 384,112
2 | 384, 112 |
2 | 192, 56 |
2 | 96, 28 |
2 | 48, 14 |
24, 7 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 384,112 . The biggest common factor number is the GCF number.
So the greatest common factor 384,112 is 16.
Lets's calculate LCM of 84,5553
3 | 84, 5553 |
28, 1851 |
∴ So the LCM of the given numbers is 3 x 28 x 1851 = 155484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/155484
Therefore, the GCF of Fractions 384/84,112/5553 is 16/155484
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 84,5553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,5553) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(84,5553) x common factors =3 x 1 = 3
LCM(84,5553) = ( 84 × 5553 ) / 3
LCM(84,5553) = 466452 / 3
LCM(84,5553) = 155484
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 384/84, 112/5553?
Answer: GCF of Numerators as per given numbers 384/84, 112/5553 is
GCF of Numerators i.e. for 384,112 is 16
LCM of denominators i.e. for 84,5553 is 155484.
Thus, GCF of Fractions is 16/155484.Finally, GCF of Fractions for 384/84, 112/5553 is 16/155484.