Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 302/769,3063/666
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 302,3063
Greatest Common Factor of Numerators i.e. GCF of 302,3063 is 1 .
LCM of Denominators means LCM of 769,666 as per the given fractions.
LCM of 769,666 is 512154 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 302,3063
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 3063
List of positive integer factors of 3063 that divides 3063 without a remainder.
1,3,1021,3063
Greatest Common Factor
We found the factors 302,3063 . The biggest common factor number is the GCF number.
So the greatest common factor 302,3063 is 1.
Lets's calculate LCM of 769,666
Given numbers has no common factors except 1. So, there LCM is their product i.e 512154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512154
Therefore, the GCF of Fractions 302/769,3063/666 is 1/512154
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 769,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,666) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,666) x common factors =1 x 1 = 1
LCM(769,666) = ( 769 × 666 ) / 1
LCM(769,666) = 512154 / 1
LCM(769,666) = 512154
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 302/769, 3063/666?
Answer: GCF of Numerators as per given numbers 302/769, 3063/666 is
GCF of Numerators i.e. for 302,3063 is 1
LCM of denominators i.e. for 769,666 is 512154.
Thus, GCF of Fractions is 1/512154.Finally, GCF of Fractions for 302/769, 3063/666 is 1/512154.