Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2453/789,5042/4848
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 2453,5042
Greatest Common Factor of Numerators i.e. GCF of 2453,5042 is 1 .
LCM of Denominators means LCM of 789,4848 as per the given fractions.
LCM of 789,4848 is 1275024 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2453,5042
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2453
List of positive integer factors of 2453 that divides 2453 without a remainder.
1,11,223,2453
Factors of 5042
List of positive integer factors of 5042 that divides 5042 without a remainder.
1,2,2521,5042
Greatest Common Factor
We found the factors 2453,5042 . The biggest common factor number is the GCF number.
So the greatest common factor 2453,5042 is 1.
Lets's calculate LCM of 789,4848
3 | 789, 4848 |
263, 1616 |
∴ So the LCM of the given numbers is 3 x 263 x 1616 = 1275024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1275024
Therefore, the GCF of Fractions 2453/789,5042/4848 is 1/1275024
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 789,4848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,4848) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(789,4848) x common factors =3 x 1 = 3
LCM(789,4848) = ( 789 × 4848 ) / 3
LCM(789,4848) = 3825072 / 3
LCM(789,4848) = 1275024
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 2453/789, 5042/4848?
Answer: GCF of Numerators as per given numbers 2453/789, 5042/4848 is
GCF of Numerators i.e. for 2453,5042 is 1
LCM of denominators i.e. for 789,4848 is 1275024.
Thus, GCF of Fractions is 1/1275024.Finally, GCF of Fractions for 2453/789, 5042/4848 is 1/1275024.