Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1069/246,8257/3311
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 1069,8257
Greatest Common Factor of Numerators i.e. GCF of 1069,8257 is 1 .
LCM of Denominators means LCM of 246,3311 as per the given fractions.
LCM of 246,3311 is 814506 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1069,8257
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1069
List of positive integer factors of 1069 that divides 1069 without a remainder.
1,1069
Factors of 8257
List of positive integer factors of 8257 that divides 8257 without a remainder.
1,23,359,8257
Greatest Common Factor
We found the factors 1069,8257 . The biggest common factor number is the GCF number.
So the greatest common factor 1069,8257 is 1.
Lets's calculate LCM of 246,3311
Given numbers has no common factors except 1. So, there LCM is their product i.e 814506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/814506
Therefore, the GCF of Fractions 1069/246,8257/3311 is 1/814506
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 246,3311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,3311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(246,3311) x common factors =1 x 1 = 1
LCM(246,3311) = ( 246 × 3311 ) / 1
LCM(246,3311) = 814506 / 1
LCM(246,3311) = 814506
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 1069/246, 8257/3311?
Answer: GCF of Numerators as per given numbers 1069/246, 8257/3311 is
GCF of Numerators i.e. for 1069,8257 is 1
LCM of denominators i.e. for 246,3311 is 814506.
Thus, GCF of Fractions is 1/814506.Finally, GCF of Fractions for 1069/246, 8257/3311 is 1/814506.