Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 548/305,1044/413
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 548,1044
Greatest Common Factor of Numerators i.e. GCF of 548,1044 is 4 .
LCM of Denominators means LCM of 305,413 as per the given fractions.
LCM of 305,413 is 125965 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 548,1044
2 | 548, 1044 |
2 | 274, 522 |
137, 261 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 1044
List of positive integer factors of 1044 that divides 1044 without a remainder.
1,2,3,4,6,9,12,18,29,36,58,87,116,174,261,348,522,1044
Greatest Common Factor
We found the factors 548,1044 . The biggest common factor number is the GCF number.
So the greatest common factor 548,1044 is 4.
Lets's calculate LCM of 305,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 125965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/125965
Therefore, the GCF of Fractions 548/305,1044/413 is 4/125965
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 305,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,413) x common factors =1 x 1 = 1
LCM(305,413) = ( 305 × 413 ) / 1
LCM(305,413) = 125965 / 1
LCM(305,413) = 125965
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 548/305, 1044/413?
Answer: GCF of Numerators as per given numbers 548/305, 1044/413 is
GCF of Numerators i.e. for 548,1044 is 4
LCM of denominators i.e. for 305,413 is 125965.
Thus, GCF of Fractions is 4/125965.Finally, GCF of Fractions for 548/305, 1044/413 is 4/125965.