Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 484/4555,303/5676
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 484,303
Greatest Common Factor of Numerators i.e. GCF of 484,303 is 1 .
LCM of Denominators means LCM of 4555,5676 as per the given fractions.
LCM of 4555,5676 is 25854180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 484,303
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Greatest Common Factor
We found the factors 484,303 . The biggest common factor number is the GCF number.
So the greatest common factor 484,303 is 1.
Lets's calculate LCM of 4555,5676
Given numbers has no common factors except 1. So, there LCM is their product i.e 25854180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25854180
Therefore, the GCF of Fractions 484/4555,303/5676 is 1/25854180
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 4555,5676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4555,5676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4555,5676) x common factors =1 x 1 = 1
LCM(4555,5676) = ( 4555 × 5676 ) / 1
LCM(4555,5676) = 25854180 / 1
LCM(4555,5676) = 25854180
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 484/4555, 303/5676?
Answer: GCF of Numerators as per given numbers 484/4555, 303/5676 is
GCF of Numerators i.e. for 484,303 is 1
LCM of denominators i.e. for 4555,5676 is 25854180.
Thus, GCF of Fractions is 1/25854180.Finally, GCF of Fractions for 484/4555, 303/5676 is 1/25854180.