Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 387/419,8454/7031
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 387,8454
Greatest Common Factor of Numerators i.e. GCF of 387,8454 is 3 .
LCM of Denominators means LCM of 419,7031 as per the given fractions.
LCM of 419,7031 is 2945989 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 387,8454
3 | 387, 8454 |
129, 2818 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 8454
List of positive integer factors of 8454 that divides 8454 without a remainder.
1,2,3,6,1409,2818,4227,8454
Greatest Common Factor
We found the factors 387,8454 . The biggest common factor number is the GCF number.
So the greatest common factor 387,8454 is 3.
Lets's calculate LCM of 419,7031
Given numbers has no common factors except 1. So, there LCM is their product i.e 2945989
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2945989
Therefore, the GCF of Fractions 387/419,8454/7031 is 3/2945989
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 419,7031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,7031) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,7031) x common factors =1 x 1 = 1
LCM(419,7031) = ( 419 × 7031 ) / 1
LCM(419,7031) = 2945989 / 1
LCM(419,7031) = 2945989
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 387/419, 8454/7031?
Answer: GCF of Numerators as per given numbers 387/419, 8454/7031 is
GCF of Numerators i.e. for 387,8454 is 3
LCM of denominators i.e. for 419,7031 is 2945989.
Thus, GCF of Fractions is 3/2945989.Finally, GCF of Fractions for 387/419, 8454/7031 is 3/2945989.