Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/291,11/296,990/124
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 43,11,990
Greatest Common Factor of Numerators i.e. GCF of 43,11,990 is 1 .
LCM of Denominators means LCM of 291,296,124 as per the given fractions.
LCM of 291,296,124 is 2670216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 43,11,990
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 43,11,990 . The biggest common factor number is the GCF number.
So the greatest common factor 43,11,990 is 1.
Lets's calculate LCM of 291,296,124
2 | 291, 296, 124 |
2 | 291, 148, 62 |
291, 74, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 291 x 74 x 31 = 2670216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2670216
Therefore, the GCF of Fractions 43/291,11/296,990/124 is 1/2670216
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 291,296,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,296,124) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(291,296,124) x common factors =1 x 4 = 4
LCM(291,296,124) = ( 291 × 296 × 124 ) / 4
LCM(291,296,124) = 10680864 / 4
LCM(291,296,124) = 2670216
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 43/291, 11/296, 990/124?
Answer: GCF of Numerators as per given numbers 43/291, 11/296, 990/124 is
GCF of Numerators i.e. for 43,11,990 is 1
LCM of denominators i.e. for 291,296,124 is 2670216.
Thus, GCF of Fractions is 1/2670216.Finally, GCF of Fractions for 43/291, 11/296, 990/124 is 1/2670216.