Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3062/239,9035/188
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 3062,9035
Greatest Common Factor of Numerators i.e. GCF of 3062,9035 is 1 .
LCM of Denominators means LCM of 239,188 as per the given fractions.
LCM of 239,188 is 44932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3062,9035
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3062
List of positive integer factors of 3062 that divides 3062 without a remainder.
1,2,1531,3062
Factors of 9035
List of positive integer factors of 9035 that divides 9035 without a remainder.
1,5,13,65,139,695,1807,9035
Greatest Common Factor
We found the factors 3062,9035 . The biggest common factor number is the GCF number.
So the greatest common factor 3062,9035 is 1.
Lets's calculate LCM of 239,188
Given numbers has no common factors except 1. So, there LCM is their product i.e 44932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44932
Therefore, the GCF of Fractions 3062/239,9035/188 is 1/44932
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 239,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,188) x common factors =1 x 1 = 1
LCM(239,188) = ( 239 × 188 ) / 1
LCM(239,188) = 44932 / 1
LCM(239,188) = 44932
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 3062/239, 9035/188?
Answer: GCF of Numerators as per given numbers 3062/239, 9035/188 is
GCF of Numerators i.e. for 3062,9035 is 1
LCM of denominators i.e. for 239,188 is 44932.
Thus, GCF of Fractions is 1/44932.Finally, GCF of Fractions for 3062/239, 9035/188 is 1/44932.