Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 310/222,2060/183
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 310,2060
Greatest Common Factor of Numerators i.e. GCF of 310,2060 is 10 .
LCM of Denominators means LCM of 222,183 as per the given fractions.
LCM of 222,183 is 13542 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 310,2060
2 | 310, 2060 |
5 | 155, 1030 |
31, 206 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 2060
List of positive integer factors of 2060 that divides 2060 without a remainder.
1,2,4,5,10,20,103,206,412,515,1030,2060
Greatest Common Factor
We found the factors 310,2060 . The biggest common factor number is the GCF number.
So the greatest common factor 310,2060 is 10.
Lets's calculate LCM of 222,183
3 | 222, 183 |
74, 61 |
∴ So the LCM of the given numbers is 3 x 74 x 61 = 13542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/13542
Therefore, the GCF of Fractions 310/222,2060/183 is 10/13542
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 222,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,183) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(222,183) x common factors =3 x 1 = 3
LCM(222,183) = ( 222 × 183 ) / 3
LCM(222,183) = 40626 / 3
LCM(222,183) = 13542
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 310/222, 2060/183?
Answer: GCF of Numerators as per given numbers 310/222, 2060/183 is
GCF of Numerators i.e. for 310,2060 is 10
LCM of denominators i.e. for 222,183 is 13542.
Thus, GCF of Fractions is 10/13542.Finally, GCF of Fractions for 310/222, 2060/183 is 10/13542.