Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5791/384,2923/3936
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 5791,2923
Greatest Common Factor of Numerators i.e. GCF of 5791,2923 is 1 .
LCM of Denominators means LCM of 384,3936 as per the given fractions.
LCM of 384,3936 is 15744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5791,2923
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5791
List of positive integer factors of 5791 that divides 5791 without a remainder.
1,5791
Factors of 2923
List of positive integer factors of 2923 that divides 2923 without a remainder.
1,37,79,2923
Greatest Common Factor
We found the factors 5791,2923 . The biggest common factor number is the GCF number.
So the greatest common factor 5791,2923 is 1.
Lets's calculate LCM of 384,3936
2 | 384, 3936 |
2 | 192, 1968 |
2 | 96, 984 |
2 | 48, 492 |
2 | 24, 246 |
3 | 12, 123 |
4, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 4 x 41 = 15744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15744
Therefore, the GCF of Fractions 5791/384,2923/3936 is 1/15744
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 384,3936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,3936) = 96
common factors(in case of two or more numbers have common factors) = 1
GCF(384,3936) x common factors =96 x 1 = 96
LCM(384,3936) = ( 384 × 3936 ) / 96
LCM(384,3936) = 1511424 / 96
LCM(384,3936) = 15744
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 5791/384, 2923/3936?
Answer: GCF of Numerators as per given numbers 5791/384, 2923/3936 is
GCF of Numerators i.e. for 5791,2923 is 1
LCM of denominators i.e. for 384,3936 is 15744.
Thus, GCF of Fractions is 1/15744.Finally, GCF of Fractions for 5791/384, 2923/3936 is 1/15744.