Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3549/365,4617/1856
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 3549,4617
Greatest Common Factor of Numerators i.e. GCF of 3549,4617 is 3 .
LCM of Denominators means LCM of 365,1856 as per the given fractions.
LCM of 365,1856 is 677440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3549,4617
3 | 3549, 4617 |
1183, 1539 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3549
List of positive integer factors of 3549 that divides 3549 without a remainder.
1,3,7,13,21,39,91,169,273,507,1183,3549
Factors of 4617
List of positive integer factors of 4617 that divides 4617 without a remainder.
1,3,9,19,27,57,81,171,243,513,1539,4617
Greatest Common Factor
We found the factors 3549,4617 . The biggest common factor number is the GCF number.
So the greatest common factor 3549,4617 is 3.
Lets's calculate LCM of 365,1856
Given numbers has no common factors except 1. So, there LCM is their product i.e 677440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/677440
Therefore, the GCF of Fractions 3549/365,4617/1856 is 3/677440
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 365,1856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,1856) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,1856) x common factors =1 x 1 = 1
LCM(365,1856) = ( 365 × 1856 ) / 1
LCM(365,1856) = 677440 / 1
LCM(365,1856) = 677440
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 3549/365, 4617/1856?
Answer: GCF of Numerators as per given numbers 3549/365, 4617/1856 is
GCF of Numerators i.e. for 3549,4617 is 3
LCM of denominators i.e. for 365,1856 is 677440.
Thus, GCF of Fractions is 3/677440.Finally, GCF of Fractions for 3549/365, 4617/1856 is 3/677440.