Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/487,7929/8084
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 44,7929
Greatest Common Factor of Numerators i.e. GCF of 44,7929 is 1 .
LCM of Denominators means LCM of 487,8084 as per the given fractions.
LCM of 487,8084 is 3936908 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,7929
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 7929
List of positive integer factors of 7929 that divides 7929 without a remainder.
1,3,9,881,2643,7929
Greatest Common Factor
We found the factors 44,7929 . The biggest common factor number is the GCF number.
So the greatest common factor 44,7929 is 1.
Lets's calculate LCM of 487,8084
Given numbers has no common factors except 1. So, there LCM is their product i.e 3936908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3936908
Therefore, the GCF of Fractions 44/487,7929/8084 is 1/3936908
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 487,8084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,8084) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,8084) x common factors =1 x 1 = 1
LCM(487,8084) = ( 487 × 8084 ) / 1
LCM(487,8084) = 3936908 / 1
LCM(487,8084) = 3936908
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 44/487, 7929/8084?
Answer: GCF of Numerators as per given numbers 44/487, 7929/8084 is
GCF of Numerators i.e. for 44,7929 is 1
LCM of denominators i.e. for 487,8084 is 3936908.
Thus, GCF of Fractions is 1/3936908.Finally, GCF of Fractions for 44/487, 7929/8084 is 1/3936908.