Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1815/348,5875/9299
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 1815,5875
Greatest Common Factor of Numerators i.e. GCF of 1815,5875 is 5 .
LCM of Denominators means LCM of 348,9299 as per the given fractions.
LCM of 348,9299 is 3236052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1815,5875
5 | 1815, 5875 |
363, 1175 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 1815
List of positive integer factors of 1815 that divides 1815 without a remainder.
1,3,5,11,15,33,55,121,165,363,605,1815
Factors of 5875
List of positive integer factors of 5875 that divides 5875 without a remainder.
1,5,25,47,125,235,1175,5875
Greatest Common Factor
We found the factors 1815,5875 . The biggest common factor number is the GCF number.
So the greatest common factor 1815,5875 is 5.
Lets's calculate LCM of 348,9299
Given numbers has no common factors except 1. So, there LCM is their product i.e 3236052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3236052
Therefore, the GCF of Fractions 1815/348,5875/9299 is 5/3236052
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 348,9299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,9299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(348,9299) x common factors =1 x 1 = 1
LCM(348,9299) = ( 348 × 9299 ) / 1
LCM(348,9299) = 3236052 / 1
LCM(348,9299) = 3236052
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 1815/348, 5875/9299?
Answer: GCF of Numerators as per given numbers 1815/348, 5875/9299 is
GCF of Numerators i.e. for 1815,5875 is 5
LCM of denominators i.e. for 348,9299 is 3236052.
Thus, GCF of Fractions is 5/3236052.Finally, GCF of Fractions for 1815/348, 5875/9299 is 5/3236052.