Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 305/397,7406/131
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 305,7406
Greatest Common Factor of Numerators i.e. GCF of 305,7406 is 1 .
LCM of Denominators means LCM of 397,131 as per the given fractions.
LCM of 397,131 is 52007 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 305,7406
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 7406
List of positive integer factors of 7406 that divides 7406 without a remainder.
1,2,7,14,23,46,161,322,529,1058,3703,7406
Greatest Common Factor
We found the factors 305,7406 . The biggest common factor number is the GCF number.
So the greatest common factor 305,7406 is 1.
Lets's calculate LCM of 397,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 52007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52007
Therefore, the GCF of Fractions 305/397,7406/131 is 1/52007
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 397,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,131) x common factors =1 x 1 = 1
LCM(397,131) = ( 397 × 131 ) / 1
LCM(397,131) = 52007 / 1
LCM(397,131) = 52007
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 305/397, 7406/131?
Answer: GCF of Numerators as per given numbers 305/397, 7406/131 is
GCF of Numerators i.e. for 305,7406 is 1
LCM of denominators i.e. for 397,131 is 52007.
Thus, GCF of Fractions is 1/52007.Finally, GCF of Fractions for 305/397, 7406/131 is 1/52007.