Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 310/391,148/631,547/325
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 310,148,547
Greatest Common Factor of Numerators i.e. GCF of 310,148,547 is 1 .
LCM of Denominators means LCM of 391,631,325 as per the given fractions.
LCM of 391,631,325 is 80184325 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 310,148,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Greatest Common Factor
We found the factors 310,148,547 . The biggest common factor number is the GCF number.
So the greatest common factor 310,148,547 is 1.
Lets's calculate LCM of 391,631,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 80184325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80184325
Therefore, the GCF of Fractions 310/391,148/631,547/325 is 1/80184325
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 391,631,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,631,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,631,325) x common factors =1 x 1 = 1
LCM(391,631,325) = ( 391 × 631 × 325 ) / 1
LCM(391,631,325) = 80184325 / 1
LCM(391,631,325) = 80184325
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 310/391, 148/631, 547/325?
Answer: GCF of Numerators as per given numbers 310/391, 148/631, 547/325 is
GCF of Numerators i.e. for 310,148,547 is 1
LCM of denominators i.e. for 391,631,325 is 80184325.
Thus, GCF of Fractions is 1/80184325.Finally, GCF of Fractions for 310/391, 148/631, 547/325 is 1/80184325.