Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 235/3958,110/4290
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 235,110
Greatest Common Factor of Numerators i.e. GCF of 235,110 is 5 .
LCM of Denominators means LCM of 3958,4290 as per the given fractions.
LCM of 3958,4290 is 8489910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 235,110
5 | 235, 110 |
47, 22 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Greatest Common Factor
We found the factors 235,110 . The biggest common factor number is the GCF number.
So the greatest common factor 235,110 is 5.
Lets's calculate LCM of 3958,4290
2 | 3958, 4290 |
1979, 2145 |
∴ So the LCM of the given numbers is 2 x 1979 x 2145 = 8489910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8489910
Therefore, the GCF of Fractions 235/3958,110/4290 is 5/8489910
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 3958,4290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3958,4290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3958,4290) x common factors =2 x 1 = 2
LCM(3958,4290) = ( 3958 × 4290 ) / 2
LCM(3958,4290) = 16979820 / 2
LCM(3958,4290) = 8489910
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 235/3958, 110/4290?
Answer: GCF of Numerators as per given numbers 235/3958, 110/4290 is
GCF of Numerators i.e. for 235,110 is 5
LCM of denominators i.e. for 3958,4290 is 8489910.
Thus, GCF of Fractions is 5/8489910.Finally, GCF of Fractions for 235/3958, 110/4290 is 5/8489910.