Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9521/18,5109/396
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 9521,5109
Greatest Common Factor of Numerators i.e. GCF of 9521,5109 is 1 .
LCM of Denominators means LCM of 18,396 as per the given fractions.
LCM of 18,396 is 396 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9521,5109
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9521
List of positive integer factors of 9521 that divides 9521 without a remainder.
1,9521
Factors of 5109
List of positive integer factors of 5109 that divides 5109 without a remainder.
1,3,13,39,131,393,1703,5109
Greatest Common Factor
We found the factors 9521,5109 . The biggest common factor number is the GCF number.
So the greatest common factor 9521,5109 is 1.
Lets's calculate LCM of 18,396
2 | 18, 396 |
3 | 9, 198 |
3 | 3, 66 |
1, 22 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 22 = 396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/396
Therefore, the GCF of Fractions 9521/18,5109/396 is 1/396
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 18,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,396) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(18,396) x common factors =18 x 1 = 18
LCM(18,396) = ( 18 × 396 ) / 18
LCM(18,396) = 7128 / 18
LCM(18,396) = 396
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 9521/18, 5109/396?
Answer: GCF of Numerators as per given numbers 9521/18, 5109/396 is
GCF of Numerators i.e. for 9521,5109 is 1
LCM of denominators i.e. for 18,396 is 396.
Thus, GCF of Fractions is 1/396.Finally, GCF of Fractions for 9521/18, 5109/396 is 1/396.