Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3916/242,2595/9277
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 3916,2595
Greatest Common Factor of Numerators i.e. GCF of 3916,2595 is 1 .
LCM of Denominators means LCM of 242,9277 as per the given fractions.
LCM of 242,9277 is 2245034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3916,2595
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3916
List of positive integer factors of 3916 that divides 3916 without a remainder.
1,2,4,11,22,44,89,178,356,979,1958,3916
Factors of 2595
List of positive integer factors of 2595 that divides 2595 without a remainder.
1,3,5,15,173,519,865,2595
Greatest Common Factor
We found the factors 3916,2595 . The biggest common factor number is the GCF number.
So the greatest common factor 3916,2595 is 1.
Lets's calculate LCM of 242,9277
Given numbers has no common factors except 1. So, there LCM is their product i.e 2245034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2245034
Therefore, the GCF of Fractions 3916/242,2595/9277 is 1/2245034
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 242,9277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,9277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(242,9277) x common factors =1 x 1 = 1
LCM(242,9277) = ( 242 × 9277 ) / 1
LCM(242,9277) = 2245034 / 1
LCM(242,9277) = 2245034
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 3916/242, 2595/9277?
Answer: GCF of Numerators as per given numbers 3916/242, 2595/9277 is
GCF of Numerators i.e. for 3916,2595 is 1
LCM of denominators i.e. for 242,9277 is 2245034.
Thus, GCF of Fractions is 1/2245034.Finally, GCF of Fractions for 3916/242, 2595/9277 is 1/2245034.