Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9751/483,3839/1361
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 9751,3839
Greatest Common Factor of Numerators i.e. GCF of 9751,3839 is 1 .
LCM of Denominators means LCM of 483,1361 as per the given fractions.
LCM of 483,1361 is 657363 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9751,3839
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9751
List of positive integer factors of 9751 that divides 9751 without a remainder.
1,7,49,199,1393,9751
Factors of 3839
List of positive integer factors of 3839 that divides 3839 without a remainder.
1,11,349,3839
Greatest Common Factor
We found the factors 9751,3839 . The biggest common factor number is the GCF number.
So the greatest common factor 9751,3839 is 1.
Lets's calculate LCM of 483,1361
Given numbers has no common factors except 1. So, there LCM is their product i.e 657363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/657363
Therefore, the GCF of Fractions 9751/483,3839/1361 is 1/657363
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 483,1361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,1361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(483,1361) x common factors =1 x 1 = 1
LCM(483,1361) = ( 483 × 1361 ) / 1
LCM(483,1361) = 657363 / 1
LCM(483,1361) = 657363
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 9751/483, 3839/1361?
Answer: GCF of Numerators as per given numbers 9751/483, 3839/1361 is
GCF of Numerators i.e. for 9751,3839 is 1
LCM of denominators i.e. for 483,1361 is 657363.
Thus, GCF of Fractions is 1/657363.Finally, GCF of Fractions for 9751/483, 3839/1361 is 1/657363.