Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/313,990/969
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 66,990
Greatest Common Factor of Numerators i.e. GCF of 66,990 is 66 .
LCM of Denominators means LCM of 313,969 as per the given fractions.
LCM of 313,969 is 303297 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 66,990
2 | 66, 990 |
3 | 33, 495 |
11 | 11, 165 |
1, 15 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 66,990 . The biggest common factor number is the GCF number.
So the greatest common factor 66,990 is 66.
Lets's calculate LCM of 313,969
Given numbers has no common factors except 1. So, there LCM is their product i.e 303297
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/303297
Therefore, the GCF of Fractions 66/313,990/969 is 66/303297
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 313,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,969) x common factors =1 x 1 = 1
LCM(313,969) = ( 313 × 969 ) / 1
LCM(313,969) = 303297 / 1
LCM(313,969) = 303297
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 66/313, 990/969?
Answer: GCF of Numerators as per given numbers 66/313, 990/969 is
GCF of Numerators i.e. for 66,990 is 66
LCM of denominators i.e. for 313,969 is 303297.
Thus, GCF of Fractions is 66/303297.Finally, GCF of Fractions for 66/313, 990/969 is 66/303297.