Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5960/618,2225/388
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 5960,2225
Greatest Common Factor of Numerators i.e. GCF of 5960,2225 is 5 .
LCM of Denominators means LCM of 618,388 as per the given fractions.
LCM of 618,388 is 119892 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5960,2225
5 | 5960, 2225 |
1192, 445 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 5960
List of positive integer factors of 5960 that divides 5960 without a remainder.
1,2,4,5,8,10,20,40,149,298,596,745,1192,1490,2980,5960
Factors of 2225
List of positive integer factors of 2225 that divides 2225 without a remainder.
1,5,25,89,445,2225
Greatest Common Factor
We found the factors 5960,2225 . The biggest common factor number is the GCF number.
So the greatest common factor 5960,2225 is 5.
Lets's calculate LCM of 618,388
2 | 618, 388 |
309, 194 |
∴ So the LCM of the given numbers is 2 x 309 x 194 = 119892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/119892
Therefore, the GCF of Fractions 5960/618,2225/388 is 5/119892
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 618,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,388) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,388) x common factors =2 x 1 = 2
LCM(618,388) = ( 618 × 388 ) / 2
LCM(618,388) = 239784 / 2
LCM(618,388) = 119892
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 5960/618, 2225/388?
Answer: GCF of Numerators as per given numbers 5960/618, 2225/388 is
GCF of Numerators i.e. for 5960,2225 is 5
LCM of denominators i.e. for 618,388 is 119892.
Thus, GCF of Fractions is 5/119892.Finally, GCF of Fractions for 5960/618, 2225/388 is 5/119892.