Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 946/990,517/190
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 946,517
Greatest Common Factor of Numerators i.e. GCF of 946,517 is 11 .
LCM of Denominators means LCM of 990,190 as per the given fractions.
LCM of 990,190 is 18810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 946,517
11 | 946, 517 |
86, 47 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Greatest Common Factor
We found the factors 946,517 . The biggest common factor number is the GCF number.
So the greatest common factor 946,517 is 11.
Lets's calculate LCM of 990,190
2 | 990, 190 |
5 | 495, 95 |
99, 19 |
∴ So the LCM of the given numbers is 2 x 5 x 99 x 19 = 18810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/18810
Therefore, the GCF of Fractions 946/990,517/190 is 11/18810
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 990,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,190) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(990,190) x common factors =10 x 1 = 10
LCM(990,190) = ( 990 × 190 ) / 10
LCM(990,190) = 188100 / 10
LCM(990,190) = 18810
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 946/990, 517/190?
Answer: GCF of Numerators as per given numbers 946/990, 517/190 is
GCF of Numerators i.e. for 946,517 is 11
LCM of denominators i.e. for 990,190 is 18810.
Thus, GCF of Fractions is 11/18810.Finally, GCF of Fractions for 946/990, 517/190 is 11/18810.