Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 717/929,104/268
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 717,104
Greatest Common Factor of Numerators i.e. GCF of 717,104 is 1 .
LCM of Denominators means LCM of 929,268 as per the given fractions.
LCM of 929,268 is 248972 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 717,104
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1,3,239,717
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Greatest Common Factor
We found the factors 717,104 . The biggest common factor number is the GCF number.
So the greatest common factor 717,104 is 1.
Lets's calculate LCM of 929,268
Given numbers has no common factors except 1. So, there LCM is their product i.e 248972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248972
Therefore, the GCF of Fractions 717/929,104/268 is 1/248972
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 929,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,268) x common factors =1 x 1 = 1
LCM(929,268) = ( 929 × 268 ) / 1
LCM(929,268) = 248972 / 1
LCM(929,268) = 248972
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 717/929, 104/268?
Answer: GCF of Numerators as per given numbers 717/929, 104/268 is
GCF of Numerators i.e. for 717,104 is 1
LCM of denominators i.e. for 929,268 is 248972.
Thus, GCF of Fractions is 1/248972.Finally, GCF of Fractions for 717/929, 104/268 is 1/248972.