Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 982/95,816/1998
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 982,816
Greatest Common Factor of Numerators i.e. GCF of 982,816 is 2 .
LCM of Denominators means LCM of 95,1998 as per the given fractions.
LCM of 95,1998 is 189810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 982,816
2 | 982, 816 |
491, 408 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 982,816 . The biggest common factor number is the GCF number.
So the greatest common factor 982,816 is 2.
Lets's calculate LCM of 95,1998
Given numbers has no common factors except 1. So, there LCM is their product i.e 189810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/189810
Therefore, the GCF of Fractions 982/95,816/1998 is 2/189810
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 95,1998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,1998) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,1998) x common factors =1 x 1 = 1
LCM(95,1998) = ( 95 × 1998 ) / 1
LCM(95,1998) = 189810 / 1
LCM(95,1998) = 189810
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 982/95, 816/1998?
Answer: GCF of Numerators as per given numbers 982/95, 816/1998 is
GCF of Numerators i.e. for 982,816 is 2
LCM of denominators i.e. for 95,1998 is 189810.
Thus, GCF of Fractions is 2/189810.Finally, GCF of Fractions for 982/95, 816/1998 is 2/189810.