Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9950/588,6867/573
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 9950,6867
Greatest Common Factor of Numerators i.e. GCF of 9950,6867 is 1 .
LCM of Denominators means LCM of 588,573 as per the given fractions.
LCM of 588,573 is 112308 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9950,6867
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9950
List of positive integer factors of 9950 that divides 9950 without a remainder.
1,2,5,10,25,50,199,398,995,1990,4975,9950
Factors of 6867
List of positive integer factors of 6867 that divides 6867 without a remainder.
1,3,7,9,21,63,109,327,763,981,2289,6867
Greatest Common Factor
We found the factors 9950,6867 . The biggest common factor number is the GCF number.
So the greatest common factor 9950,6867 is 1.
Lets's calculate LCM of 588,573
3 | 588, 573 |
196, 191 |
∴ So the LCM of the given numbers is 3 x 196 x 191 = 112308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112308
Therefore, the GCF of Fractions 9950/588,6867/573 is 1/112308
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 588,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,573) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(588,573) x common factors =3 x 1 = 3
LCM(588,573) = ( 588 × 573 ) / 3
LCM(588,573) = 336924 / 3
LCM(588,573) = 112308
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 9950/588, 6867/573?
Answer: GCF of Numerators as per given numbers 9950/588, 6867/573 is
GCF of Numerators i.e. for 9950,6867 is 1
LCM of denominators i.e. for 588,573 is 112308.
Thus, GCF of Fractions is 1/112308.Finally, GCF of Fractions for 9950/588, 6867/573 is 1/112308.