Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 192/603,6966/986
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 192,6966
Greatest Common Factor of Numerators i.e. GCF of 192,6966 is 6 .
LCM of Denominators means LCM of 603,986 as per the given fractions.
LCM of 603,986 is 594558 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 192,6966
2 | 192, 6966 |
3 | 96, 3483 |
32, 1161 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Factors of 6966
List of positive integer factors of 6966 that divides 6966 without a remainder.
1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966
Greatest Common Factor
We found the factors 192,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 192,6966 is 6.
Lets's calculate LCM of 603,986
Given numbers has no common factors except 1. So, there LCM is their product i.e 594558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/594558
Therefore, the GCF of Fractions 192/603,6966/986 is 6/594558
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 603,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,986) x common factors =1 x 1 = 1
LCM(603,986) = ( 603 × 986 ) / 1
LCM(603,986) = 594558 / 1
LCM(603,986) = 594558
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 192/603, 6966/986?
Answer: GCF of Numerators as per given numbers 192/603, 6966/986 is
GCF of Numerators i.e. for 192,6966 is 6
LCM of denominators i.e. for 603,986 is 594558.
Thus, GCF of Fractions is 6/594558.Finally, GCF of Fractions for 192/603, 6966/986 is 6/594558.