Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3910/465,3684/732
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 3910,3684
Greatest Common Factor of Numerators i.e. GCF of 3910,3684 is 2 .
LCM of Denominators means LCM of 465,732 as per the given fractions.
LCM of 465,732 is 113460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3910,3684
2 | 3910, 3684 |
1955, 1842 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3910
List of positive integer factors of 3910 that divides 3910 without a remainder.
1,2,5,10,17,23,34,46,85,115,170,230,391,782,1955,3910
Factors of 3684
List of positive integer factors of 3684 that divides 3684 without a remainder.
1,2,3,4,6,12,307,614,921,1228,1842,3684
Greatest Common Factor
We found the factors 3910,3684 . The biggest common factor number is the GCF number.
So the greatest common factor 3910,3684 is 2.
Lets's calculate LCM of 465,732
3 | 465, 732 |
155, 244 |
∴ So the LCM of the given numbers is 3 x 155 x 244 = 113460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/113460
Therefore, the GCF of Fractions 3910/465,3684/732 is 2/113460
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 465,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,732) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(465,732) x common factors =3 x 1 = 3
LCM(465,732) = ( 465 × 732 ) / 3
LCM(465,732) = 340380 / 3
LCM(465,732) = 113460
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 3910/465, 3684/732?
Answer: GCF of Numerators as per given numbers 3910/465, 3684/732 is
GCF of Numerators i.e. for 3910,3684 is 2
LCM of denominators i.e. for 465,732 is 113460.
Thus, GCF of Fractions is 2/113460.Finally, GCF of Fractions for 3910/465, 3684/732 is 2/113460.