Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 183/202,161/593,132/552
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 183,161,132
Greatest Common Factor of Numerators i.e. GCF of 183,161,132 is 1 .
LCM of Denominators means LCM of 202,593,552 as per the given fractions.
LCM of 202,593,552 is 33060936 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 183,161,132
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 183,161,132 . The biggest common factor number is the GCF number.
So the greatest common factor 183,161,132 is 1.
Lets's calculate LCM of 202,593,552
2 | 202, 593, 552 |
101, 593, 276 |
∴ So the LCM of the given numbers is 2 x 101 x 593 x 276 = 33060936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33060936
Therefore, the GCF of Fractions 183/202,161/593,132/552 is 1/33060936
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 202,593,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,593,552) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(202,593,552) x common factors =1 x 2 = 2
LCM(202,593,552) = ( 202 × 593 × 552 ) / 2
LCM(202,593,552) = 66121872 / 2
LCM(202,593,552) = 33060936
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 183/202, 161/593, 132/552?
Answer: GCF of Numerators as per given numbers 183/202, 161/593, 132/552 is
GCF of Numerators i.e. for 183,161,132 is 1
LCM of denominators i.e. for 202,593,552 is 33060936.
Thus, GCF of Fractions is 1/33060936.Finally, GCF of Fractions for 183/202, 161/593, 132/552 is 1/33060936.