Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4093/796,7794/561
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 4093,7794
Greatest Common Factor of Numerators i.e. GCF of 4093,7794 is 1 .
LCM of Denominators means LCM of 796,561 as per the given fractions.
LCM of 796,561 is 446556 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4093,7794
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4093
List of positive integer factors of 4093 that divides 4093 without a remainder.
1,4093
Factors of 7794
List of positive integer factors of 7794 that divides 7794 without a remainder.
1,2,3,6,9,18,433,866,1299,2598,3897,7794
Greatest Common Factor
We found the factors 4093,7794 . The biggest common factor number is the GCF number.
So the greatest common factor 4093,7794 is 1.
Lets's calculate LCM of 796,561
Given numbers has no common factors except 1. So, there LCM is their product i.e 446556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/446556
Therefore, the GCF of Fractions 4093/796,7794/561 is 1/446556
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 796,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(796,561) x common factors =1 x 1 = 1
LCM(796,561) = ( 796 × 561 ) / 1
LCM(796,561) = 446556 / 1
LCM(796,561) = 446556
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 4093/796, 7794/561?
Answer: GCF of Numerators as per given numbers 4093/796, 7794/561 is
GCF of Numerators i.e. for 4093,7794 is 1
LCM of denominators i.e. for 796,561 is 446556.
Thus, GCF of Fractions is 1/446556.Finally, GCF of Fractions for 4093/796, 7794/561 is 1/446556.