Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/927,55/3881
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 96,55
Greatest Common Factor of Numerators i.e. GCF of 96,55 is 1 .
LCM of Denominators means LCM of 927,3881 as per the given fractions.
LCM of 927,3881 is 3597687 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,55
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Greatest Common Factor
We found the factors 96,55 . The biggest common factor number is the GCF number.
So the greatest common factor 96,55 is 1.
Lets's calculate LCM of 927,3881
Given numbers has no common factors except 1. So, there LCM is their product i.e 3597687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3597687
Therefore, the GCF of Fractions 96/927,55/3881 is 1/3597687
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 927,3881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,3881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,3881) x common factors =1 x 1 = 1
LCM(927,3881) = ( 927 × 3881 ) / 1
LCM(927,3881) = 3597687 / 1
LCM(927,3881) = 3597687
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 96/927, 55/3881?
Answer: GCF of Numerators as per given numbers 96/927, 55/3881 is
GCF of Numerators i.e. for 96,55 is 1
LCM of denominators i.e. for 927,3881 is 3597687.
Thus, GCF of Fractions is 1/3597687.Finally, GCF of Fractions for 96/927, 55/3881 is 1/3597687.