Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 184/11,759/43,267/989
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 184,759,267
Greatest Common Factor of Numerators i.e. GCF of 184,759,267 is 1 .
LCM of Denominators means LCM of 11,43,989 as per the given fractions.
LCM of 11,43,989 is 10879 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 184,759,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Greatest Common Factor
We found the factors 184,759,267 . The biggest common factor number is the GCF number.
So the greatest common factor 184,759,267 is 1.
Lets's calculate LCM of 11,43,989
43 | 11, 43, 989 |
11, 1, 23 |
∴ So the LCM of the given numbers is 43 x 11 x 1 x 23 = 10879
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10879
Therefore, the GCF of Fractions 184/11,759/43,267/989 is 1/10879
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 11,43,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,43,989) = 1
common factors(in case of two or more numbers have common factors) = 43
GCF(11,43,989) x common factors =1 x 43 = 43
LCM(11,43,989) = ( 11 × 43 × 989 ) / 43
LCM(11,43,989) = 467797 / 43
LCM(11,43,989) = 10879
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 184/11, 759/43, 267/989?
Answer: GCF of Numerators as per given numbers 184/11, 759/43, 267/989 is
GCF of Numerators i.e. for 184,759,267 is 1
LCM of denominators i.e. for 11,43,989 is 10879.
Thus, GCF of Fractions is 1/10879.Finally, GCF of Fractions for 184/11, 759/43, 267/989 is 1/10879.