Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 41/14,138/94,935/96
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 41,138,935
Greatest Common Factor of Numerators i.e. GCF of 41,138,935 is 1 .
LCM of Denominators means LCM of 14,94,96 as per the given fractions.
LCM of 14,94,96 is 31584 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 41,138,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 41,138,935 . The biggest common factor number is the GCF number.
So the greatest common factor 41,138,935 is 1.
Lets's calculate LCM of 14,94,96
2 | 14, 94, 96 |
7, 47, 48 |
∴ So the LCM of the given numbers is 2 x 7 x 47 x 48 = 31584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31584
Therefore, the GCF of Fractions 41/14,138/94,935/96 is 1/31584
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 14,94,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,94,96) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(14,94,96) x common factors =2 x 2 = 4
LCM(14,94,96) = ( 14 × 94 × 96 ) / 4
LCM(14,94,96) = 126336 / 4
LCM(14,94,96) = 31584
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 41/14, 138/94, 935/96?
Answer: GCF of Numerators as per given numbers 41/14, 138/94, 935/96 is
GCF of Numerators i.e. for 41,138,935 is 1
LCM of denominators i.e. for 14,94,96 is 31584.
Thus, GCF of Fractions is 1/31584.Finally, GCF of Fractions for 41/14, 138/94, 935/96 is 1/31584.