Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5577/71,3965/728
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 5577,3965
Greatest Common Factor of Numerators i.e. GCF of 5577,3965 is 13 .
LCM of Denominators means LCM of 71,728 as per the given fractions.
LCM of 71,728 is 51688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5577,3965
13 | 5577, 3965 |
429, 305 |
∴ So the GCF of the given numbers is 13 = 13
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 3965
List of positive integer factors of 3965 that divides 3965 without a remainder.
1,5,13,61,65,305,793,3965
Greatest Common Factor
We found the factors 5577,3965 . The biggest common factor number is the GCF number.
So the greatest common factor 5577,3965 is 13.
Lets's calculate LCM of 71,728
Given numbers has no common factors except 1. So, there LCM is their product i.e 51688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/51688
Therefore, the GCF of Fractions 5577/71,3965/728 is 13/51688
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 71,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,728) x common factors =1 x 1 = 1
LCM(71,728) = ( 71 × 728 ) / 1
LCM(71,728) = 51688 / 1
LCM(71,728) = 51688
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 5577/71, 3965/728?
Answer: GCF of Numerators as per given numbers 5577/71, 3965/728 is
GCF of Numerators i.e. for 5577,3965 is 13
LCM of denominators i.e. for 71,728 is 51688.
Thus, GCF of Fractions is 13/51688.Finally, GCF of Fractions for 5577/71, 3965/728 is 13/51688.