Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2910/950,3913/527
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 2910,3913
Greatest Common Factor of Numerators i.e. GCF of 2910,3913 is 1 .
LCM of Denominators means LCM of 950,527 as per the given fractions.
LCM of 950,527 is 500650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2910,3913
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2910
List of positive integer factors of 2910 that divides 2910 without a remainder.
1,2,3,5,6,10,15,30,97,194,291,485,582,970,1455,2910
Factors of 3913
List of positive integer factors of 3913 that divides 3913 without a remainder.
1,7,13,43,91,301,559,3913
Greatest Common Factor
We found the factors 2910,3913 . The biggest common factor number is the GCF number.
So the greatest common factor 2910,3913 is 1.
Lets's calculate LCM of 950,527
Given numbers has no common factors except 1. So, there LCM is their product i.e 500650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/500650
Therefore, the GCF of Fractions 2910/950,3913/527 is 1/500650
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 950,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(950,527) x common factors =1 x 1 = 1
LCM(950,527) = ( 950 × 527 ) / 1
LCM(950,527) = 500650 / 1
LCM(950,527) = 500650
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 2910/950, 3913/527?
Answer: GCF of Numerators as per given numbers 2910/950, 3913/527 is
GCF of Numerators i.e. for 2910,3913 is 1
LCM of denominators i.e. for 950,527 is 500650.
Thus, GCF of Fractions is 1/500650.Finally, GCF of Fractions for 2910/950, 3913/527 is 1/500650.