Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 384/897,3204/996
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 384,3204
Greatest Common Factor of Numerators i.e. GCF of 384,3204 is 12 .
LCM of Denominators means LCM of 897,996 as per the given fractions.
LCM of 897,996 is 297804 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 384,3204
2 | 384, 3204 |
2 | 192, 1602 |
3 | 96, 801 |
32, 267 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
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 3204
List of positive integer factors of 3204 that divides 3204 without a remainder.
1,2,3,4,6,9,12,18,36,89,178,267,356,534,801,1068,1602,3204
Greatest Common Factor
We found the factors 384,3204 . The biggest common factor number is the GCF number.
So the greatest common factor 384,3204 is 12.
Lets's calculate LCM of 897,996
3 | 897, 996 |
299, 332 |
∴ So the LCM of the given numbers is 3 x 299 x 332 = 297804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/297804
Therefore, the GCF of Fractions 384/897,3204/996 is 12/297804
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 897,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,996) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(897,996) x common factors =3 x 1 = 3
LCM(897,996) = ( 897 × 996 ) / 3
LCM(897,996) = 893412 / 3
LCM(897,996) = 297804
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 384/897, 3204/996?
Answer: GCF of Numerators as per given numbers 384/897, 3204/996 is
GCF of Numerators i.e. for 384,3204 is 12
LCM of denominators i.e. for 897,996 is 297804.
Thus, GCF of Fractions is 12/297804.Finally, GCF of Fractions for 384/897, 3204/996 is 12/297804.