Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 549/613,3061/325
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 549,3061
Greatest Common Factor of Numerators i.e. GCF of 549,3061 is 1 .
LCM of Denominators means LCM of 613,325 as per the given fractions.
LCM of 613,325 is 199225 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 549,3061
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 3061
List of positive integer factors of 3061 that divides 3061 without a remainder.
1,3061
Greatest Common Factor
We found the factors 549,3061 . The biggest common factor number is the GCF number.
So the greatest common factor 549,3061 is 1.
Lets's calculate LCM of 613,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 199225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199225
Therefore, the GCF of Fractions 549/613,3061/325 is 1/199225
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 613,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,325) x common factors =1 x 1 = 1
LCM(613,325) = ( 613 × 325 ) / 1
LCM(613,325) = 199225 / 1
LCM(613,325) = 199225
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 549/613, 3061/325?
Answer: GCF of Numerators as per given numbers 549/613, 3061/325 is
GCF of Numerators i.e. for 549,3061 is 1
LCM of denominators i.e. for 613,325 is 199225.
Thus, GCF of Fractions is 1/199225.Finally, GCF of Fractions for 549/613, 3061/325 is 1/199225.