Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6679/64,8133/711
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 6679,8133
Greatest Common Factor of Numerators i.e. GCF of 6679,8133 is 1 .
LCM of Denominators means LCM of 64,711 as per the given fractions.
LCM of 64,711 is 45504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6679,8133
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6679
List of positive integer factors of 6679 that divides 6679 without a remainder.
1,6679
Factors of 8133
List of positive integer factors of 8133 that divides 8133 without a remainder.
1,3,2711,8133
Greatest Common Factor
We found the factors 6679,8133 . The biggest common factor number is the GCF number.
So the greatest common factor 6679,8133 is 1.
Lets's calculate LCM of 64,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 45504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45504
Therefore, the GCF of Fractions 6679/64,8133/711 is 1/45504
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 64,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,711) x common factors =1 x 1 = 1
LCM(64,711) = ( 64 × 711 ) / 1
LCM(64,711) = 45504 / 1
LCM(64,711) = 45504
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 6679/64, 8133/711?
Answer: GCF of Numerators as per given numbers 6679/64, 8133/711 is
GCF of Numerators i.e. for 6679,8133 is 1
LCM of denominators i.e. for 64,711 is 45504.
Thus, GCF of Fractions is 1/45504.Finally, GCF of Fractions for 6679/64, 8133/711 is 1/45504.