Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4399/173,4111/4256
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 4399,4111
Greatest Common Factor of Numerators i.e. GCF of 4399,4111 is 1 .
LCM of Denominators means LCM of 173,4256 as per the given fractions.
LCM of 173,4256 is 736288 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4399,4111
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4399
List of positive integer factors of 4399 that divides 4399 without a remainder.
1,53,83,4399
Factors of 4111
List of positive integer factors of 4111 that divides 4111 without a remainder.
1,4111
Greatest Common Factor
We found the factors 4399,4111 . The biggest common factor number is the GCF number.
So the greatest common factor 4399,4111 is 1.
Lets's calculate LCM of 173,4256
Given numbers has no common factors except 1. So, there LCM is their product i.e 736288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/736288
Therefore, the GCF of Fractions 4399/173,4111/4256 is 1/736288
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 173,4256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,4256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,4256) x common factors =1 x 1 = 1
LCM(173,4256) = ( 173 × 4256 ) / 1
LCM(173,4256) = 736288 / 1
LCM(173,4256) = 736288
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 4399/173, 4111/4256?
Answer: GCF of Numerators as per given numbers 4399/173, 4111/4256 is
GCF of Numerators i.e. for 4399,4111 is 1
LCM of denominators i.e. for 173,4256 is 736288.
Thus, GCF of Fractions is 1/736288.Finally, GCF of Fractions for 4399/173, 4111/4256 is 1/736288.