Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 303/4156,804/1826
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 303,804
Greatest Common Factor of Numerators i.e. GCF of 303,804 is 3 .
LCM of Denominators means LCM of 4156,1826 as per the given fractions.
LCM of 4156,1826 is 3794428 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 303,804
3 | 303, 804 |
101, 268 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Greatest Common Factor
We found the factors 303,804 . The biggest common factor number is the GCF number.
So the greatest common factor 303,804 is 3.
Lets's calculate LCM of 4156,1826
2 | 4156, 1826 |
2078, 913 |
∴ So the LCM of the given numbers is 2 x 2078 x 913 = 3794428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3794428
Therefore, the GCF of Fractions 303/4156,804/1826 is 3/3794428
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 4156,1826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4156,1826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4156,1826) x common factors =2 x 1 = 2
LCM(4156,1826) = ( 4156 × 1826 ) / 2
LCM(4156,1826) = 7588856 / 2
LCM(4156,1826) = 3794428
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 303/4156, 804/1826?
Answer: GCF of Numerators as per given numbers 303/4156, 804/1826 is
GCF of Numerators i.e. for 303,804 is 3
LCM of denominators i.e. for 4156,1826 is 3794428.
Thus, GCF of Fractions is 3/3794428.Finally, GCF of Fractions for 303/4156, 804/1826 is 3/3794428.