Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/346,302/303,327/725
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 40,302,327
Greatest Common Factor of Numerators i.e. GCF of 40,302,327 is 1 .
LCM of Denominators means LCM of 346,303,725 as per the given fractions.
LCM of 346,303,725 is 76007550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,302,327
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Greatest Common Factor
We found the factors 40,302,327 . The biggest common factor number is the GCF number.
So the greatest common factor 40,302,327 is 1.
Lets's calculate LCM of 346,303,725
Given numbers has no common factors except 1. So, there LCM is their product i.e 76007550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76007550
Therefore, the GCF of Fractions 40/346,302/303,327/725 is 1/76007550
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 346,303,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,303,725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,303,725) x common factors =1 x 1 = 1
LCM(346,303,725) = ( 346 × 303 × 725 ) / 1
LCM(346,303,725) = 76007550 / 1
LCM(346,303,725) = 76007550
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 40/346, 302/303, 327/725?
Answer: GCF of Numerators as per given numbers 40/346, 302/303, 327/725 is
GCF of Numerators i.e. for 40,302,327 is 1
LCM of denominators i.e. for 346,303,725 is 76007550.
Thus, GCF of Fractions is 1/76007550.Finally, GCF of Fractions for 40/346, 302/303, 327/725 is 1/76007550.