Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 443/81,4580/649
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 443,4580
Greatest Common Factor of Numerators i.e. GCF of 443,4580 is 1 .
LCM of Denominators means LCM of 81,649 as per the given fractions.
LCM of 81,649 is 52569 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 443,4580
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Factors of 4580
List of positive integer factors of 4580 that divides 4580 without a remainder.
1,2,4,5,10,20,229,458,916,1145,2290,4580
Greatest Common Factor
We found the factors 443,4580 . The biggest common factor number is the GCF number.
So the greatest common factor 443,4580 is 1.
Lets's calculate LCM of 81,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 52569
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52569
Therefore, the GCF of Fractions 443/81,4580/649 is 1/52569
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 81,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,649) x common factors =1 x 1 = 1
LCM(81,649) = ( 81 × 649 ) / 1
LCM(81,649) = 52569 / 1
LCM(81,649) = 52569
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 443/81, 4580/649?
Answer: GCF of Numerators as per given numbers 443/81, 4580/649 is
GCF of Numerators i.e. for 443,4580 is 1
LCM of denominators i.e. for 81,649 is 52569.
Thus, GCF of Fractions is 1/52569.Finally, GCF of Fractions for 443/81, 4580/649 is 1/52569.