Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2415/71,8166/761
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 2415,8166
Greatest Common Factor of Numerators i.e. GCF of 2415,8166 is 3 .
LCM of Denominators means LCM of 71,761 as per the given fractions.
LCM of 71,761 is 54031 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2415,8166
3 | 2415, 8166 |
805, 2722 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2415
List of positive integer factors of 2415 that divides 2415 without a remainder.
1,3,5,7,15,21,23,35,69,105,115,161,345,483,805,2415
Factors of 8166
List of positive integer factors of 8166 that divides 8166 without a remainder.
1,2,3,6,1361,2722,4083,8166
Greatest Common Factor
We found the factors 2415,8166 . The biggest common factor number is the GCF number.
So the greatest common factor 2415,8166 is 3.
Lets's calculate LCM of 71,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 54031
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/54031
Therefore, the GCF of Fractions 2415/71,8166/761 is 3/54031
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 71,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,761) x common factors =1 x 1 = 1
LCM(71,761) = ( 71 × 761 ) / 1
LCM(71,761) = 54031 / 1
LCM(71,761) = 54031
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 2415/71, 8166/761?
Answer: GCF of Numerators as per given numbers 2415/71, 8166/761 is
GCF of Numerators i.e. for 2415,8166 is 3
LCM of denominators i.e. for 71,761 is 54031.
Thus, GCF of Fractions is 3/54031.Finally, GCF of Fractions for 2415/71, 8166/761 is 3/54031.