Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8389/222,9887/1649
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 8389,9887
Greatest Common Factor of Numerators i.e. GCF of 8389,9887 is 1 .
LCM of Denominators means LCM of 222,1649 as per the given fractions.
LCM of 222,1649 is 366078 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8389,9887
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8389
List of positive integer factors of 8389 that divides 8389 without a remainder.
1,8389
Factors of 9887
List of positive integer factors of 9887 that divides 9887 without a remainder.
1,9887
Greatest Common Factor
We found the factors 8389,9887 . The biggest common factor number is the GCF number.
So the greatest common factor 8389,9887 is 1.
Lets's calculate LCM of 222,1649
Given numbers has no common factors except 1. So, there LCM is their product i.e 366078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366078
Therefore, the GCF of Fractions 8389/222,9887/1649 is 1/366078
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 222,1649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,1649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(222,1649) x common factors =1 x 1 = 1
LCM(222,1649) = ( 222 × 1649 ) / 1
LCM(222,1649) = 366078 / 1
LCM(222,1649) = 366078
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 8389/222, 9887/1649?
Answer: GCF of Numerators as per given numbers 8389/222, 9887/1649 is
GCF of Numerators i.e. for 8389,9887 is 1
LCM of denominators i.e. for 222,1649 is 366078.
Thus, GCF of Fractions is 1/366078.Finally, GCF of Fractions for 8389/222, 9887/1649 is 1/366078.