Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 902/978,2061/153
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 902,2061
Greatest Common Factor of Numerators i.e. GCF of 902,2061 is 1 .
LCM of Denominators means LCM of 978,153 as per the given fractions.
LCM of 978,153 is 49878 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 902,2061
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 2061
List of positive integer factors of 2061 that divides 2061 without a remainder.
1,3,9,229,687,2061
Greatest Common Factor
We found the factors 902,2061 . The biggest common factor number is the GCF number.
So the greatest common factor 902,2061 is 1.
Lets's calculate LCM of 978,153
3 | 978, 153 |
326, 51 |
∴ So the LCM of the given numbers is 3 x 326 x 51 = 49878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49878
Therefore, the GCF of Fractions 902/978,2061/153 is 1/49878
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 978,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,153) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(978,153) x common factors =3 x 1 = 3
LCM(978,153) = ( 978 × 153 ) / 3
LCM(978,153) = 149634 / 3
LCM(978,153) = 49878
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 902/978, 2061/153?
Answer: GCF of Numerators as per given numbers 902/978, 2061/153 is
GCF of Numerators i.e. for 902,2061 is 1
LCM of denominators i.e. for 978,153 is 49878.
Thus, GCF of Fractions is 1/49878.Finally, GCF of Fractions for 902/978, 2061/153 is 1/49878.