Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 372/3989,103/3051
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 372,103
Greatest Common Factor of Numerators i.e. GCF of 372,103 is 1 .
LCM of Denominators means LCM of 3989,3051 as per the given fractions.
LCM of 3989,3051 is 12170439 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 372,103
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Greatest Common Factor
We found the factors 372,103 . The biggest common factor number is the GCF number.
So the greatest common factor 372,103 is 1.
Lets's calculate LCM of 3989,3051
Given numbers has no common factors except 1. So, there LCM is their product i.e 12170439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12170439
Therefore, the GCF of Fractions 372/3989,103/3051 is 1/12170439
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 3989,3051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3989,3051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3989,3051) x common factors =1 x 1 = 1
LCM(3989,3051) = ( 3989 × 3051 ) / 1
LCM(3989,3051) = 12170439 / 1
LCM(3989,3051) = 12170439
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 372/3989, 103/3051?
Answer: GCF of Numerators as per given numbers 372/3989, 103/3051 is
GCF of Numerators i.e. for 372,103 is 1
LCM of denominators i.e. for 3989,3051 is 12170439.
Thus, GCF of Fractions is 1/12170439.Finally, GCF of Fractions for 372/3989, 103/3051 is 1/12170439.