Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3012/20,3684/818
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 3012,3684
Greatest Common Factor of Numerators i.e. GCF of 3012,3684 is 12 .
LCM of Denominators means LCM of 20,818 as per the given fractions.
LCM of 20,818 is 8180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3012,3684
2 | 3012, 3684 |
2 | 1506, 1842 |
3 | 753, 921 |
251, 307 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 3012
List of positive integer factors of 3012 that divides 3012 without a remainder.
1,2,3,4,6,12,251,502,753,1004,1506,3012
Factors of 3684
List of positive integer factors of 3684 that divides 3684 without a remainder.
1,2,3,4,6,12,307,614,921,1228,1842,3684
Greatest Common Factor
We found the factors 3012,3684 . The biggest common factor number is the GCF number.
So the greatest common factor 3012,3684 is 12.
Lets's calculate LCM of 20,818
2 | 20, 818 |
10, 409 |
∴ So the LCM of the given numbers is 2 x 10 x 409 = 8180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/8180
Therefore, the GCF of Fractions 3012/20,3684/818 is 12/8180
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 20,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,818) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(20,818) x common factors =2 x 1 = 2
LCM(20,818) = ( 20 × 818 ) / 2
LCM(20,818) = 16360 / 2
LCM(20,818) = 8180
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 3012/20, 3684/818?
Answer: GCF of Numerators as per given numbers 3012/20, 3684/818 is
GCF of Numerators i.e. for 3012,3684 is 12
LCM of denominators i.e. for 20,818 is 8180.
Thus, GCF of Fractions is 12/8180.Finally, GCF of Fractions for 3012/20, 3684/818 is 12/8180.