Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5822/451,5993/244
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 5822,5993
Greatest Common Factor of Numerators i.e. GCF of 5822,5993 is 1 .
LCM of Denominators means LCM of 451,244 as per the given fractions.
LCM of 451,244 is 110044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5822,5993
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5822
List of positive integer factors of 5822 that divides 5822 without a remainder.
1,2,41,71,82,142,2911,5822
Factors of 5993
List of positive integer factors of 5993 that divides 5993 without a remainder.
1,13,461,5993
Greatest Common Factor
We found the factors 5822,5993 . The biggest common factor number is the GCF number.
So the greatest common factor 5822,5993 is 1.
Lets's calculate LCM of 451,244
Given numbers has no common factors except 1. So, there LCM is their product i.e 110044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110044
Therefore, the GCF of Fractions 5822/451,5993/244 is 1/110044
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 451,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,244) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,244) x common factors =1 x 1 = 1
LCM(451,244) = ( 451 × 244 ) / 1
LCM(451,244) = 110044 / 1
LCM(451,244) = 110044
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 5822/451, 5993/244?
Answer: GCF of Numerators as per given numbers 5822/451, 5993/244 is
GCF of Numerators i.e. for 5822,5993 is 1
LCM of denominators i.e. for 451,244 is 110044.
Thus, GCF of Fractions is 1/110044.Finally, GCF of Fractions for 5822/451, 5993/244 is 1/110044.