Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/188,35/386,719/652
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 44,35,719
Greatest Common Factor of Numerators i.e. GCF of 44,35,719 is 1 .
LCM of Denominators means LCM of 188,386,652 as per the given fractions.
LCM of 188,386,652 is 5914292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,35,719
∴ 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 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Greatest Common Factor
We found the factors 44,35,719 . The biggest common factor number is the GCF number.
So the greatest common factor 44,35,719 is 1.
Lets's calculate LCM of 188,386,652
2 | 188, 386, 652 |
2 | 94, 193, 326 |
47, 193, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 193 x 163 = 5914292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5914292
Therefore, the GCF of Fractions 44/188,35/386,719/652 is 1/5914292
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 188,386,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,386,652) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(188,386,652) x common factors =2 x 4 = 8
LCM(188,386,652) = ( 188 × 386 × 652 ) / 8
LCM(188,386,652) = 47314336 / 8
LCM(188,386,652) = 5914292
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 44/188, 35/386, 719/652?
Answer: GCF of Numerators as per given numbers 44/188, 35/386, 719/652 is
GCF of Numerators i.e. for 44,35,719 is 1
LCM of denominators i.e. for 188,386,652 is 5914292.
Thus, GCF of Fractions is 1/5914292.Finally, GCF of Fractions for 44/188, 35/386, 719/652 is 1/5914292.