Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3804/632,2615/957
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 3804,2615
Greatest Common Factor of Numerators i.e. GCF of 3804,2615 is 1 .
LCM of Denominators means LCM of 632,957 as per the given fractions.
LCM of 632,957 is 604824 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3804,2615
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3804
List of positive integer factors of 3804 that divides 3804 without a remainder.
1,2,3,4,6,12,317,634,951,1268,1902,3804
Factors of 2615
List of positive integer factors of 2615 that divides 2615 without a remainder.
1,5,523,2615
Greatest Common Factor
We found the factors 3804,2615 . The biggest common factor number is the GCF number.
So the greatest common factor 3804,2615 is 1.
Lets's calculate LCM of 632,957
Given numbers has no common factors except 1. So, there LCM is their product i.e 604824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/604824
Therefore, the GCF of Fractions 3804/632,2615/957 is 1/604824
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 632,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,957) x common factors =1 x 1 = 1
LCM(632,957) = ( 632 × 957 ) / 1
LCM(632,957) = 604824 / 1
LCM(632,957) = 604824
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 3804/632, 2615/957?
Answer: GCF of Numerators as per given numbers 3804/632, 2615/957 is
GCF of Numerators i.e. for 3804,2615 is 1
LCM of denominators i.e. for 632,957 is 604824.
Thus, GCF of Fractions is 1/604824.Finally, GCF of Fractions for 3804/632, 2615/957 is 1/604824.