Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8238/79,3356/189
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 8238,3356
Greatest Common Factor of Numerators i.e. GCF of 8238,3356 is 2 .
LCM of Denominators means LCM of 79,189 as per the given fractions.
LCM of 79,189 is 14931 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8238,3356
2 | 8238, 3356 |
4119, 1678 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8238
List of positive integer factors of 8238 that divides 8238 without a remainder.
1,2,3,6,1373,2746,4119,8238
Factors of 3356
List of positive integer factors of 3356 that divides 3356 without a remainder.
1,2,4,839,1678,3356
Greatest Common Factor
We found the factors 8238,3356 . The biggest common factor number is the GCF number.
So the greatest common factor 8238,3356 is 2.
Lets's calculate LCM of 79,189
Given numbers has no common factors except 1. So, there LCM is their product i.e 14931
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14931
Therefore, the GCF of Fractions 8238/79,3356/189 is 2/14931
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 79,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,189) x common factors =1 x 1 = 1
LCM(79,189) = ( 79 × 189 ) / 1
LCM(79,189) = 14931 / 1
LCM(79,189) = 14931
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 8238/79, 3356/189?
Answer: GCF of Numerators as per given numbers 8238/79, 3356/189 is
GCF of Numerators i.e. for 8238,3356 is 2
LCM of denominators i.e. for 79,189 is 14931.
Thus, GCF of Fractions is 2/14931.Finally, GCF of Fractions for 8238/79, 3356/189 is 2/14931.