Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 396/39,314/9642
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 396,314
Greatest Common Factor of Numerators i.e. GCF of 396,314 is 2 .
LCM of Denominators means LCM of 39,9642 as per the given fractions.
LCM of 39,9642 is 125346 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 396,314
2 | 396, 314 |
198, 157 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Greatest Common Factor
We found the factors 396,314 . The biggest common factor number is the GCF number.
So the greatest common factor 396,314 is 2.
Lets's calculate LCM of 39,9642
3 | 39, 9642 |
13, 3214 |
∴ So the LCM of the given numbers is 3 x 13 x 3214 = 125346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/125346
Therefore, the GCF of Fractions 396/39,314/9642 is 2/125346
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 39,9642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,9642) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,9642) x common factors =3 x 1 = 3
LCM(39,9642) = ( 39 × 9642 ) / 3
LCM(39,9642) = 376038 / 3
LCM(39,9642) = 125346
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 396/39, 314/9642?
Answer: GCF of Numerators as per given numbers 396/39, 314/9642 is
GCF of Numerators i.e. for 396,314 is 2
LCM of denominators i.e. for 39,9642 is 125346.
Thus, GCF of Fractions is 2/125346.Finally, GCF of Fractions for 396/39, 314/9642 is 2/125346.