Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 818/420,9986/294
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 818,9986
Greatest Common Factor of Numerators i.e. GCF of 818,9986 is 2 .
LCM of Denominators means LCM of 420,294 as per the given fractions.
LCM of 420,294 is 2940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 818,9986
2 | 818, 9986 |
409, 4993 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 9986
List of positive integer factors of 9986 that divides 9986 without a remainder.
1,2,4993,9986
Greatest Common Factor
We found the factors 818,9986 . The biggest common factor number is the GCF number.
So the greatest common factor 818,9986 is 2.
Lets's calculate LCM of 420,294
2 | 420, 294 |
3 | 210, 147 |
7 | 70, 49 |
10, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 10 x 7 = 2940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2940
Therefore, the GCF of Fractions 818/420,9986/294 is 2/2940
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 420,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,294) = 42
common factors(in case of two or more numbers have common factors) = 1
GCF(420,294) x common factors =42 x 1 = 42
LCM(420,294) = ( 420 × 294 ) / 42
LCM(420,294) = 123480 / 42
LCM(420,294) = 2940
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 818/420, 9986/294?
Answer: GCF of Numerators as per given numbers 818/420, 9986/294 is
GCF of Numerators i.e. for 818,9986 is 2
LCM of denominators i.e. for 420,294 is 2940.
Thus, GCF of Fractions is 2/2940.Finally, GCF of Fractions for 818/420, 9986/294 is 2/2940.