Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8377/838,1287/2991
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 8377,1287
Greatest Common Factor of Numerators i.e. GCF of 8377,1287 is 1 .
LCM of Denominators means LCM of 838,2991 as per the given fractions.
LCM of 838,2991 is 2506458 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8377,1287
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8377
List of positive integer factors of 8377 that divides 8377 without a remainder.
1,8377
Factors of 1287
List of positive integer factors of 1287 that divides 1287 without a remainder.
1,3,9,11,13,33,39,99,117,143,429,1287
Greatest Common Factor
We found the factors 8377,1287 . The biggest common factor number is the GCF number.
So the greatest common factor 8377,1287 is 1.
Lets's calculate LCM of 838,2991
Given numbers has no common factors except 1. So, there LCM is their product i.e 2506458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2506458
Therefore, the GCF of Fractions 8377/838,1287/2991 is 1/2506458
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 838,2991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,2991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,2991) x common factors =1 x 1 = 1
LCM(838,2991) = ( 838 × 2991 ) / 1
LCM(838,2991) = 2506458 / 1
LCM(838,2991) = 2506458
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 8377/838, 1287/2991?
Answer: GCF of Numerators as per given numbers 8377/838, 1287/2991 is
GCF of Numerators i.e. for 8377,1287 is 1
LCM of denominators i.e. for 838,2991 is 2506458.
Thus, GCF of Fractions is 1/2506458.Finally, GCF of Fractions for 8377/838, 1287/2991 is 1/2506458.