Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 12/336,847/743
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 12,847
Greatest Common Factor of Numerators i.e. GCF of 12,847 is 1 .
LCM of Denominators means LCM of 336,743 as per the given fractions.
LCM of 336,743 is 249648 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 12,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 12,847 . The biggest common factor number is the GCF number.
So the greatest common factor 12,847 is 1.
Lets's calculate LCM of 336,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 249648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249648
Therefore, the GCF of Fractions 12/336,847/743 is 1/249648
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 336,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(336,743) x common factors =1 x 1 = 1
LCM(336,743) = ( 336 × 743 ) / 1
LCM(336,743) = 249648 / 1
LCM(336,743) = 249648
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 12/336, 847/743?
Answer: GCF of Numerators as per given numbers 12/336, 847/743 is
GCF of Numerators i.e. for 12,847 is 1
LCM of denominators i.e. for 336,743 is 249648.
Thus, GCF of Fractions is 1/249648.Finally, GCF of Fractions for 12/336, 847/743 is 1/249648.