Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 397/409,2248/198
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 397,2248
Greatest Common Factor of Numerators i.e. GCF of 397,2248 is 1 .
LCM of Denominators means LCM of 409,198 as per the given fractions.
LCM of 409,198 is 80982 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 397,2248
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 2248
List of positive integer factors of 2248 that divides 2248 without a remainder.
1,2,4,8,281,562,1124,2248
Greatest Common Factor
We found the factors 397,2248 . The biggest common factor number is the GCF number.
So the greatest common factor 397,2248 is 1.
Lets's calculate LCM of 409,198
Given numbers has no common factors except 1. So, there LCM is their product i.e 80982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80982
Therefore, the GCF of Fractions 397/409,2248/198 is 1/80982
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 409,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,198) x common factors =1 x 1 = 1
LCM(409,198) = ( 409 × 198 ) / 1
LCM(409,198) = 80982 / 1
LCM(409,198) = 80982
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 397/409, 2248/198?
Answer: GCF of Numerators as per given numbers 397/409, 2248/198 is
GCF of Numerators i.e. for 397,2248 is 1
LCM of denominators i.e. for 409,198 is 80982.
Thus, GCF of Fractions is 1/80982.Finally, GCF of Fractions for 397/409, 2248/198 is 1/80982.