Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 395/94,8108/446
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 395,8108
Greatest Common Factor of Numerators i.e. GCF of 395,8108 is 1 .
LCM of Denominators means LCM of 94,446 as per the given fractions.
LCM of 94,446 is 20962 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 395,8108
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 8108
List of positive integer factors of 8108 that divides 8108 without a remainder.
1,2,4,2027,4054,8108
Greatest Common Factor
We found the factors 395,8108 . The biggest common factor number is the GCF number.
So the greatest common factor 395,8108 is 1.
Lets's calculate LCM of 94,446
2 | 94, 446 |
47, 223 |
∴ So the LCM of the given numbers is 2 x 47 x 223 = 20962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20962
Therefore, the GCF of Fractions 395/94,8108/446 is 1/20962
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 94,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,446) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(94,446) x common factors =2 x 1 = 2
LCM(94,446) = ( 94 × 446 ) / 2
LCM(94,446) = 41924 / 2
LCM(94,446) = 20962
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 395/94, 8108/446?
Answer: GCF of Numerators as per given numbers 395/94, 8108/446 is
GCF of Numerators i.e. for 395,8108 is 1
LCM of denominators i.e. for 94,446 is 20962.
Thus, GCF of Fractions is 1/20962.Finally, GCF of Fractions for 395/94, 8108/446 is 1/20962.