Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 942/313,5976/342
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 942,5976
Greatest Common Factor of Numerators i.e. GCF of 942,5976 is 6 .
LCM of Denominators means LCM of 313,342 as per the given fractions.
LCM of 313,342 is 107046 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 942,5976
2 | 942, 5976 |
3 | 471, 2988 |
157, 996 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 5976
List of positive integer factors of 5976 that divides 5976 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,83,166,249,332,498,664,747,996,1494,1992,2988,5976
Greatest Common Factor
We found the factors 942,5976 . The biggest common factor number is the GCF number.
So the greatest common factor 942,5976 is 6.
Lets's calculate LCM of 313,342
Given numbers has no common factors except 1. So, there LCM is their product i.e 107046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/107046
Therefore, the GCF of Fractions 942/313,5976/342 is 6/107046
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 313,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,342) x common factors =1 x 1 = 1
LCM(313,342) = ( 313 × 342 ) / 1
LCM(313,342) = 107046 / 1
LCM(313,342) = 107046
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 942/313, 5976/342?
Answer: GCF of Numerators as per given numbers 942/313, 5976/342 is
GCF of Numerators i.e. for 942,5976 is 6
LCM of denominators i.e. for 313,342 is 107046.
Thus, GCF of Fractions is 6/107046.Finally, GCF of Fractions for 942/313, 5976/342 is 6/107046.