Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2591/407,5433/9990
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 2591,5433
Greatest Common Factor of Numerators i.e. GCF of 2591,5433 is 1 .
LCM of Denominators means LCM of 407,9990 as per the given fractions.
LCM of 407,9990 is 109890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2591,5433
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2591
List of positive integer factors of 2591 that divides 2591 without a remainder.
1,2591
Factors of 5433
List of positive integer factors of 5433 that divides 5433 without a remainder.
1,3,1811,5433
Greatest Common Factor
We found the factors 2591,5433 . The biggest common factor number is the GCF number.
So the greatest common factor 2591,5433 is 1.
Lets's calculate LCM of 407,9990
37 | 407, 9990 |
11, 270 |
∴ So the LCM of the given numbers is 37 x 11 x 270 = 109890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109890
Therefore, the GCF of Fractions 2591/407,5433/9990 is 1/109890
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 407,9990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,9990) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(407,9990) x common factors =37 x 1 = 37
LCM(407,9990) = ( 407 × 9990 ) / 37
LCM(407,9990) = 4065930 / 37
LCM(407,9990) = 109890
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 2591/407, 5433/9990?
Answer: GCF of Numerators as per given numbers 2591/407, 5433/9990 is
GCF of Numerators i.e. for 2591,5433 is 1
LCM of denominators i.e. for 407,9990 is 109890.
Thus, GCF of Fractions is 1/109890.Finally, GCF of Fractions for 2591/407, 5433/9990 is 1/109890.