Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/779,3273/8096
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 40,3273
Greatest Common Factor of Numerators i.e. GCF of 40,3273 is 1 .
LCM of Denominators means LCM of 779,8096 as per the given fractions.
LCM of 779,8096 is 6306784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,3273
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 3273
List of positive integer factors of 3273 that divides 3273 without a remainder.
1,3,1091,3273
Greatest Common Factor
We found the factors 40,3273 . The biggest common factor number is the GCF number.
So the greatest common factor 40,3273 is 1.
Lets's calculate LCM of 779,8096
Given numbers has no common factors except 1. So, there LCM is their product i.e 6306784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6306784
Therefore, the GCF of Fractions 40/779,3273/8096 is 1/6306784
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 779,8096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,8096) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,8096) x common factors =1 x 1 = 1
LCM(779,8096) = ( 779 × 8096 ) / 1
LCM(779,8096) = 6306784 / 1
LCM(779,8096) = 6306784
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 40/779, 3273/8096?
Answer: GCF of Numerators as per given numbers 40/779, 3273/8096 is
GCF of Numerators i.e. for 40,3273 is 1
LCM of denominators i.e. for 779,8096 is 6306784.
Thus, GCF of Fractions is 1/6306784.Finally, GCF of Fractions for 40/779, 3273/8096 is 1/6306784.