Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3341/796,7551/403
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 3341,7551
Greatest Common Factor of Numerators i.e. GCF of 3341,7551 is 1 .
LCM of Denominators means LCM of 796,403 as per the given fractions.
LCM of 796,403 is 320788 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3341,7551
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3341
List of positive integer factors of 3341 that divides 3341 without a remainder.
1,13,257,3341
Factors of 7551
List of positive integer factors of 7551 that divides 7551 without a remainder.
1,3,9,839,2517,7551
Greatest Common Factor
We found the factors 3341,7551 . The biggest common factor number is the GCF number.
So the greatest common factor 3341,7551 is 1.
Lets's calculate LCM of 796,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 320788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320788
Therefore, the GCF of Fractions 3341/796,7551/403 is 1/320788
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 796,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(796,403) x common factors =1 x 1 = 1
LCM(796,403) = ( 796 × 403 ) / 1
LCM(796,403) = 320788 / 1
LCM(796,403) = 320788
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 3341/796, 7551/403?
Answer: GCF of Numerators as per given numbers 3341/796, 7551/403 is
GCF of Numerators i.e. for 3341,7551 is 1
LCM of denominators i.e. for 796,403 is 320788.
Thus, GCF of Fractions is 1/320788.Finally, GCF of Fractions for 3341/796, 7551/403 is 1/320788.