Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 303/9895,254/5187
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 303,254
Greatest Common Factor of Numerators i.e. GCF of 303,254 is 1 .
LCM of Denominators means LCM of 9895,5187 as per the given fractions.
LCM of 9895,5187 is 51325365 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 303,254
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 303,254 . The biggest common factor number is the GCF number.
So the greatest common factor 303,254 is 1.
Lets's calculate LCM of 9895,5187
Given numbers has no common factors except 1. So, there LCM is their product i.e 51325365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51325365
Therefore, the GCF of Fractions 303/9895,254/5187 is 1/51325365
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 9895,5187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9895,5187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9895,5187) x common factors =1 x 1 = 1
LCM(9895,5187) = ( 9895 × 5187 ) / 1
LCM(9895,5187) = 51325365 / 1
LCM(9895,5187) = 51325365
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 303/9895, 254/5187?
Answer: GCF of Numerators as per given numbers 303/9895, 254/5187 is
GCF of Numerators i.e. for 303,254 is 1
LCM of denominators i.e. for 9895,5187 is 51325365.
Thus, GCF of Fractions is 1/51325365.Finally, GCF of Fractions for 303/9895, 254/5187 is 1/51325365.