Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 415/23,313/106
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 415,313
Greatest Common Factor of Numerators i.e. GCF of 415,313 is 1 .
LCM of Denominators means LCM of 23,106 as per the given fractions.
LCM of 23,106 is 2438 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 415,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Greatest Common Factor
We found the factors 415,313 . The biggest common factor number is the GCF number.
So the greatest common factor 415,313 is 1.
Lets's calculate LCM of 23,106
Given numbers has no common factors except 1. So, there LCM is their product i.e 2438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2438
Therefore, the GCF of Fractions 415/23,313/106 is 1/2438
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 23,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,106) x common factors =1 x 1 = 1
LCM(23,106) = ( 23 × 106 ) / 1
LCM(23,106) = 2438 / 1
LCM(23,106) = 2438
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 415/23, 313/106?
Answer: GCF of Numerators as per given numbers 415/23, 313/106 is
GCF of Numerators i.e. for 415,313 is 1
LCM of denominators i.e. for 23,106 is 2438.
Thus, GCF of Fractions is 1/2438.Finally, GCF of Fractions for 415/23, 313/106 is 1/2438.