Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 380/187,9191/361
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 380,9191
Greatest Common Factor of Numerators i.e. GCF of 380,9191 is 1 .
LCM of Denominators means LCM of 187,361 as per the given fractions.
LCM of 187,361 is 67507 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 380,9191
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 9191
List of positive integer factors of 9191 that divides 9191 without a remainder.
1,7,13,91,101,707,1313,9191
Greatest Common Factor
We found the factors 380,9191 . The biggest common factor number is the GCF number.
So the greatest common factor 380,9191 is 1.
Lets's calculate LCM of 187,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 67507
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67507
Therefore, the GCF of Fractions 380/187,9191/361 is 1/67507
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 187,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,361) x common factors =1 x 1 = 1
LCM(187,361) = ( 187 × 361 ) / 1
LCM(187,361) = 67507 / 1
LCM(187,361) = 67507
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 380/187, 9191/361?
Answer: GCF of Numerators as per given numbers 380/187, 9191/361 is
GCF of Numerators i.e. for 380,9191 is 1
LCM of denominators i.e. for 187,361 is 67507.
Thus, GCF of Fractions is 1/67507.Finally, GCF of Fractions for 380/187, 9191/361 is 1/67507.