Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3166/913,5135/483
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 3166,5135
Greatest Common Factor of Numerators i.e. GCF of 3166,5135 is 1 .
LCM of Denominators means LCM of 913,483 as per the given fractions.
LCM of 913,483 is 440979 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3166,5135
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3166
List of positive integer factors of 3166 that divides 3166 without a remainder.
1,2,1583,3166
Factors of 5135
List of positive integer factors of 5135 that divides 5135 without a remainder.
1,5,13,65,79,395,1027,5135
Greatest Common Factor
We found the factors 3166,5135 . The biggest common factor number is the GCF number.
So the greatest common factor 3166,5135 is 1.
Lets's calculate LCM of 913,483
Given numbers has no common factors except 1. So, there LCM is their product i.e 440979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/440979
Therefore, the GCF of Fractions 3166/913,5135/483 is 1/440979
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 913,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,483) x common factors =1 x 1 = 1
LCM(913,483) = ( 913 × 483 ) / 1
LCM(913,483) = 440979 / 1
LCM(913,483) = 440979
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 3166/913, 5135/483?
Answer: GCF of Numerators as per given numbers 3166/913, 5135/483 is
GCF of Numerators i.e. for 3166,5135 is 1
LCM of denominators i.e. for 913,483 is 440979.
Thus, GCF of Fractions is 1/440979.Finally, GCF of Fractions for 3166/913, 5135/483 is 1/440979.