Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3005/94,2078/393
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 3005,2078
Greatest Common Factor of Numerators i.e. GCF of 3005,2078 is 1 .
LCM of Denominators means LCM of 94,393 as per the given fractions.
LCM of 94,393 is 36942 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3005,2078
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3005
List of positive integer factors of 3005 that divides 3005 without a remainder.
1,5,601,3005
Factors of 2078
List of positive integer factors of 2078 that divides 2078 without a remainder.
1,2,1039,2078
Greatest Common Factor
We found the factors 3005,2078 . The biggest common factor number is the GCF number.
So the greatest common factor 3005,2078 is 1.
Lets's calculate LCM of 94,393
Given numbers has no common factors except 1. So, there LCM is their product i.e 36942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36942
Therefore, the GCF of Fractions 3005/94,2078/393 is 1/36942
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 94,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,393) x common factors =1 x 1 = 1
LCM(94,393) = ( 94 × 393 ) / 1
LCM(94,393) = 36942 / 1
LCM(94,393) = 36942
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 3005/94, 2078/393?
Answer: GCF of Numerators as per given numbers 3005/94, 2078/393 is
GCF of Numerators i.e. for 3005,2078 is 1
LCM of denominators i.e. for 94,393 is 36942.
Thus, GCF of Fractions is 1/36942.Finally, GCF of Fractions for 3005/94, 2078/393 is 1/36942.