Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2481/33,4487/892
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 2481,4487
Greatest Common Factor of Numerators i.e. GCF of 2481,4487 is 1 .
LCM of Denominators means LCM of 33,892 as per the given fractions.
LCM of 33,892 is 29436 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2481,4487
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2481
List of positive integer factors of 2481 that divides 2481 without a remainder.
1,3,827,2481
Factors of 4487
List of positive integer factors of 4487 that divides 4487 without a remainder.
1,7,641,4487
Greatest Common Factor
We found the factors 2481,4487 . The biggest common factor number is the GCF number.
So the greatest common factor 2481,4487 is 1.
Lets's calculate LCM of 33,892
Given numbers has no common factors except 1. So, there LCM is their product i.e 29436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29436
Therefore, the GCF of Fractions 2481/33,4487/892 is 1/29436
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 33,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,892) x common factors =1 x 1 = 1
LCM(33,892) = ( 33 × 892 ) / 1
LCM(33,892) = 29436 / 1
LCM(33,892) = 29436
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 2481/33, 4487/892?
Answer: GCF of Numerators as per given numbers 2481/33, 4487/892 is
GCF of Numerators i.e. for 2481,4487 is 1
LCM of denominators i.e. for 33,892 is 29436.
Thus, GCF of Fractions is 1/29436.Finally, GCF of Fractions for 2481/33, 4487/892 is 1/29436.