Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5035/63,8090/199
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 5035,8090
Greatest Common Factor of Numerators i.e. GCF of 5035,8090 is 5 .
LCM of Denominators means LCM of 63,199 as per the given fractions.
LCM of 63,199 is 12537 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5035,8090
5 | 5035, 8090 |
1007, 1618 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 5035
List of positive integer factors of 5035 that divides 5035 without a remainder.
1,5,19,53,95,265,1007,5035
Factors of 8090
List of positive integer factors of 8090 that divides 8090 without a remainder.
1,2,5,10,809,1618,4045,8090
Greatest Common Factor
We found the factors 5035,8090 . The biggest common factor number is the GCF number.
So the greatest common factor 5035,8090 is 5.
Lets's calculate LCM of 63,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 12537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/12537
Therefore, the GCF of Fractions 5035/63,8090/199 is 5/12537
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 63,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,199) x common factors =1 x 1 = 1
LCM(63,199) = ( 63 × 199 ) / 1
LCM(63,199) = 12537 / 1
LCM(63,199) = 12537
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 5035/63, 8090/199?
Answer: GCF of Numerators as per given numbers 5035/63, 8090/199 is
GCF of Numerators i.e. for 5035,8090 is 5
LCM of denominators i.e. for 63,199 is 12537.
Thus, GCF of Fractions is 5/12537.Finally, GCF of Fractions for 5035/63, 8090/199 is 5/12537.