Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2433/618,8562/9909
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 2433,8562
Greatest Common Factor of Numerators i.e. GCF of 2433,8562 is 3 .
LCM of Denominators means LCM of 618,9909 as per the given fractions.
LCM of 618,9909 is 2041254 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2433,8562
3 | 2433, 8562 |
811, 2854 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2433
List of positive integer factors of 2433 that divides 2433 without a remainder.
1,3,811,2433
Factors of 8562
List of positive integer factors of 8562 that divides 8562 without a remainder.
1,2,3,6,1427,2854,4281,8562
Greatest Common Factor
We found the factors 2433,8562 . The biggest common factor number is the GCF number.
So the greatest common factor 2433,8562 is 3.
Lets's calculate LCM of 618,9909
3 | 618, 9909 |
206, 3303 |
∴ So the LCM of the given numbers is 3 x 206 x 3303 = 2041254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2041254
Therefore, the GCF of Fractions 2433/618,8562/9909 is 3/2041254
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 618,9909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,9909) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(618,9909) x common factors =3 x 1 = 3
LCM(618,9909) = ( 618 × 9909 ) / 3
LCM(618,9909) = 6123762 / 3
LCM(618,9909) = 2041254
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 2433/618, 8562/9909?
Answer: GCF of Numerators as per given numbers 2433/618, 8562/9909 is
GCF of Numerators i.e. for 2433,8562 is 3
LCM of denominators i.e. for 618,9909 is 2041254.
Thus, GCF of Fractions is 3/2041254.Finally, GCF of Fractions for 2433/618, 8562/9909 is 3/2041254.