Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5591/578,1998/723
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 5591,1998
Greatest Common Factor of Numerators i.e. GCF of 5591,1998 is 1 .
LCM of Denominators means LCM of 578,723 as per the given fractions.
LCM of 578,723 is 417894 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5591,1998
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5591
List of positive integer factors of 5591 that divides 5591 without a remainder.
1,5591
Factors of 1998
List of positive integer factors of 1998 that divides 1998 without a remainder.
1,2,3,6,9,18,27,37,54,74,111,222,333,666,999,1998
Greatest Common Factor
We found the factors 5591,1998 . The biggest common factor number is the GCF number.
So the greatest common factor 5591,1998 is 1.
Lets's calculate LCM of 578,723
Given numbers has no common factors except 1. So, there LCM is their product i.e 417894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/417894
Therefore, the GCF of Fractions 5591/578,1998/723 is 1/417894
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 578,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(578,723) x common factors =1 x 1 = 1
LCM(578,723) = ( 578 × 723 ) / 1
LCM(578,723) = 417894 / 1
LCM(578,723) = 417894
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 5591/578, 1998/723?
Answer: GCF of Numerators as per given numbers 5591/578, 1998/723 is
GCF of Numerators i.e. for 5591,1998 is 1
LCM of denominators i.e. for 578,723 is 417894.
Thus, GCF of Fractions is 1/417894.Finally, GCF of Fractions for 5591/578, 1998/723 is 1/417894.