Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 398/31,539/54,775/193
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 398,539,775
Greatest Common Factor of Numerators i.e. GCF of 398,539,775 is 1 .
LCM of Denominators means LCM of 31,54,193 as per the given fractions.
LCM of 31,54,193 is 323082 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 398,539,775
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Greatest Common Factor
We found the factors 398,539,775 . The biggest common factor number is the GCF number.
So the greatest common factor 398,539,775 is 1.
Lets's calculate LCM of 31,54,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 323082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323082
Therefore, the GCF of Fractions 398/31,539/54,775/193 is 1/323082
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 31,54,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,54,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,54,193) x common factors =1 x 1 = 1
LCM(31,54,193) = ( 31 × 54 × 193 ) / 1
LCM(31,54,193) = 323082 / 1
LCM(31,54,193) = 323082
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 398/31, 539/54, 775/193?
Answer: GCF of Numerators as per given numbers 398/31, 539/54, 775/193 is
GCF of Numerators i.e. for 398,539,775 is 1
LCM of denominators i.e. for 31,54,193 is 323082.
Thus, GCF of Fractions is 1/323082.Finally, GCF of Fractions for 398/31, 539/54, 775/193 is 1/323082.