Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8061/606,6310/2879
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 8061,6310
Greatest Common Factor of Numerators i.e. GCF of 8061,6310 is 1 .
LCM of Denominators means LCM of 606,2879 as per the given fractions.
LCM of 606,2879 is 1744674 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8061,6310
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8061
List of positive integer factors of 8061 that divides 8061 without a remainder.
1,3,2687,8061
Factors of 6310
List of positive integer factors of 6310 that divides 6310 without a remainder.
1,2,5,10,631,1262,3155,6310
Greatest Common Factor
We found the factors 8061,6310 . The biggest common factor number is the GCF number.
So the greatest common factor 8061,6310 is 1.
Lets's calculate LCM of 606,2879
Given numbers has no common factors except 1. So, there LCM is their product i.e 1744674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1744674
Therefore, the GCF of Fractions 8061/606,6310/2879 is 1/1744674
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 606,2879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,2879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(606,2879) x common factors =1 x 1 = 1
LCM(606,2879) = ( 606 × 2879 ) / 1
LCM(606,2879) = 1744674 / 1
LCM(606,2879) = 1744674
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 8061/606, 6310/2879?
Answer: GCF of Numerators as per given numbers 8061/606, 6310/2879 is
GCF of Numerators i.e. for 8061,6310 is 1
LCM of denominators i.e. for 606,2879 is 1744674.
Thus, GCF of Fractions is 1/1744674.Finally, GCF of Fractions for 8061/606, 6310/2879 is 1/1744674.