Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1902/27,6185/568
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 1902,6185
Greatest Common Factor of Numerators i.e. GCF of 1902,6185 is 1 .
LCM of Denominators means LCM of 27,568 as per the given fractions.
LCM of 27,568 is 15336 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1902,6185
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1902
List of positive integer factors of 1902 that divides 1902 without a remainder.
1,2,3,6,317,634,951,1902
Factors of 6185
List of positive integer factors of 6185 that divides 6185 without a remainder.
1,5,1237,6185
Greatest Common Factor
We found the factors 1902,6185 . The biggest common factor number is the GCF number.
So the greatest common factor 1902,6185 is 1.
Lets's calculate LCM of 27,568
Given numbers has no common factors except 1. So, there LCM is their product i.e 15336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15336
Therefore, the GCF of Fractions 1902/27,6185/568 is 1/15336
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 27,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,568) x common factors =1 x 1 = 1
LCM(27,568) = ( 27 × 568 ) / 1
LCM(27,568) = 15336 / 1
LCM(27,568) = 15336
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 1902/27, 6185/568?
Answer: GCF of Numerators as per given numbers 1902/27, 6185/568 is
GCF of Numerators i.e. for 1902,6185 is 1
LCM of denominators i.e. for 27,568 is 15336.
Thus, GCF of Fractions is 1/15336.Finally, GCF of Fractions for 1902/27, 6185/568 is 1/15336.