Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2089/461,9056/4450
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 2089,9056
Greatest Common Factor of Numerators i.e. GCF of 2089,9056 is 1 .
LCM of Denominators means LCM of 461,4450 as per the given fractions.
LCM of 461,4450 is 2051450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2089,9056
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2089
List of positive integer factors of 2089 that divides 2089 without a remainder.
1,2089
Factors of 9056
List of positive integer factors of 9056 that divides 9056 without a remainder.
1,2,4,8,16,32,283,566,1132,2264,4528,9056
Greatest Common Factor
We found the factors 2089,9056 . The biggest common factor number is the GCF number.
So the greatest common factor 2089,9056 is 1.
Lets's calculate LCM of 461,4450
Given numbers has no common factors except 1. So, there LCM is their product i.e 2051450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2051450
Therefore, the GCF of Fractions 2089/461,9056/4450 is 1/2051450
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 461,4450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,4450) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,4450) x common factors =1 x 1 = 1
LCM(461,4450) = ( 461 × 4450 ) / 1
LCM(461,4450) = 2051450 / 1
LCM(461,4450) = 2051450
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 2089/461, 9056/4450?
Answer: GCF of Numerators as per given numbers 2089/461, 9056/4450 is
GCF of Numerators i.e. for 2089,9056 is 1
LCM of denominators i.e. for 461,4450 is 2051450.
Thus, GCF of Fractions is 1/2051450.Finally, GCF of Fractions for 2089/461, 9056/4450 is 1/2051450.