Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5577/595,3032/2927
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 5577,3032
Greatest Common Factor of Numerators i.e. GCF of 5577,3032 is 1 .
LCM of Denominators means LCM of 595,2927 as per the given fractions.
LCM of 595,2927 is 1741565 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5577,3032
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5577
List of positive integer factors of 5577 that divides 5577 without a remainder.
1,3,11,13,33,39,143,169,429,507,1859,5577
Factors of 3032
List of positive integer factors of 3032 that divides 3032 without a remainder.
1,2,4,8,379,758,1516,3032
Greatest Common Factor
We found the factors 5577,3032 . The biggest common factor number is the GCF number.
So the greatest common factor 5577,3032 is 1.
Lets's calculate LCM of 595,2927
Given numbers has no common factors except 1. So, there LCM is their product i.e 1741565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1741565
Therefore, the GCF of Fractions 5577/595,3032/2927 is 1/1741565
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 595,2927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,2927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,2927) x common factors =1 x 1 = 1
LCM(595,2927) = ( 595 × 2927 ) / 1
LCM(595,2927) = 1741565 / 1
LCM(595,2927) = 1741565
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 5577/595, 3032/2927?
Answer: GCF of Numerators as per given numbers 5577/595, 3032/2927 is
GCF of Numerators i.e. for 5577,3032 is 1
LCM of denominators i.e. for 595,2927 is 1741565.
Thus, GCF of Fractions is 1/1741565.Finally, GCF of Fractions for 5577/595, 3032/2927 is 1/1741565.