Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 585/44,325/5201
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 585,325
Greatest Common Factor of Numerators i.e. GCF of 585,325 is 65 .
LCM of Denominators means LCM of 44,5201 as per the given fractions.
LCM of 44,5201 is 228844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 585,325
5 | 585, 325 |
13 | 117, 65 |
9, 5 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Greatest Common Factor
We found the factors 585,325 . The biggest common factor number is the GCF number.
So the greatest common factor 585,325 is 65.
Lets's calculate LCM of 44,5201
Given numbers has no common factors except 1. So, there LCM is their product i.e 228844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/228844
Therefore, the GCF of Fractions 585/44,325/5201 is 65/228844
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 44,5201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,5201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,5201) x common factors =1 x 1 = 1
LCM(44,5201) = ( 44 × 5201 ) / 1
LCM(44,5201) = 228844 / 1
LCM(44,5201) = 228844
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 585/44, 325/5201?
Answer: GCF of Numerators as per given numbers 585/44, 325/5201 is
GCF of Numerators i.e. for 585,325 is 65
LCM of denominators i.e. for 44,5201 is 228844.
Thus, GCF of Fractions is 65/228844.Finally, GCF of Fractions for 585/44, 325/5201 is 65/228844.