Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 561/378,3847/835
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 561,3847
Greatest Common Factor of Numerators i.e. GCF of 561,3847 is 1 .
LCM of Denominators means LCM of 378,835 as per the given fractions.
LCM of 378,835 is 315630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 561,3847
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Factors of 3847
List of positive integer factors of 3847 that divides 3847 without a remainder.
1,3847
Greatest Common Factor
We found the factors 561,3847 . The biggest common factor number is the GCF number.
So the greatest common factor 561,3847 is 1.
Lets's calculate LCM of 378,835
Given numbers has no common factors except 1. So, there LCM is their product i.e 315630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/315630
Therefore, the GCF of Fractions 561/378,3847/835 is 1/315630
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 378,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,835) x common factors =1 x 1 = 1
LCM(378,835) = ( 378 × 835 ) / 1
LCM(378,835) = 315630 / 1
LCM(378,835) = 315630
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 561/378, 3847/835?
Answer: GCF of Numerators as per given numbers 561/378, 3847/835 is
GCF of Numerators i.e. for 561,3847 is 1
LCM of denominators i.e. for 378,835 is 315630.
Thus, GCF of Fractions is 1/315630.Finally, GCF of Fractions for 561/378, 3847/835 is 1/315630.