Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5511/990,8538/3191
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 5511,8538
Greatest Common Factor of Numerators i.e. GCF of 5511,8538 is 3 .
LCM of Denominators means LCM of 990,3191 as per the given fractions.
LCM of 990,3191 is 3159090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5511,8538
3 | 5511, 8538 |
1837, 2846 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5511
List of positive integer factors of 5511 that divides 5511 without a remainder.
1,3,11,33,167,501,1837,5511
Factors of 8538
List of positive integer factors of 8538 that divides 8538 without a remainder.
1,2,3,6,1423,2846,4269,8538
Greatest Common Factor
We found the factors 5511,8538 . The biggest common factor number is the GCF number.
So the greatest common factor 5511,8538 is 3.
Lets's calculate LCM of 990,3191
Given numbers has no common factors except 1. So, there LCM is their product i.e 3159090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3159090
Therefore, the GCF of Fractions 5511/990,8538/3191 is 3/3159090
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 990,3191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,3191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(990,3191) x common factors =1 x 1 = 1
LCM(990,3191) = ( 990 × 3191 ) / 1
LCM(990,3191) = 3159090 / 1
LCM(990,3191) = 3159090
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 5511/990, 8538/3191?
Answer: GCF of Numerators as per given numbers 5511/990, 8538/3191 is
GCF of Numerators i.e. for 5511,8538 is 3
LCM of denominators i.e. for 990,3191 is 3159090.
Thus, GCF of Fractions is 3/3159090.Finally, GCF of Fractions for 5511/990, 8538/3191 is 3/3159090.