Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2577/202,4103/1231
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 2577,4103
Greatest Common Factor of Numerators i.e. GCF of 2577,4103 is 1 .
LCM of Denominators means LCM of 202,1231 as per the given fractions.
LCM of 202,1231 is 248662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2577,4103
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2577
List of positive integer factors of 2577 that divides 2577 without a remainder.
1,3,859,2577
Factors of 4103
List of positive integer factors of 4103 that divides 4103 without a remainder.
1,11,373,4103
Greatest Common Factor
We found the factors 2577,4103 . The biggest common factor number is the GCF number.
So the greatest common factor 2577,4103 is 1.
Lets's calculate LCM of 202,1231
Given numbers has no common factors except 1. So, there LCM is their product i.e 248662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248662
Therefore, the GCF of Fractions 2577/202,4103/1231 is 1/248662
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 202,1231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,1231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,1231) x common factors =1 x 1 = 1
LCM(202,1231) = ( 202 × 1231 ) / 1
LCM(202,1231) = 248662 / 1
LCM(202,1231) = 248662
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 2577/202, 4103/1231?
Answer: GCF of Numerators as per given numbers 2577/202, 4103/1231 is
GCF of Numerators i.e. for 2577,4103 is 1
LCM of denominators i.e. for 202,1231 is 248662.
Thus, GCF of Fractions is 1/248662.Finally, GCF of Fractions for 2577/202, 4103/1231 is 1/248662.