Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2033/960,5327/8903
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 2033,5327
Greatest Common Factor of Numerators i.e. GCF of 2033,5327 is 1 .
LCM of Denominators means LCM of 960,8903 as per the given fractions.
LCM of 960,8903 is 8546880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2033,5327
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2033
List of positive integer factors of 2033 that divides 2033 without a remainder.
1,19,107,2033
Factors of 5327
List of positive integer factors of 5327 that divides 5327 without a remainder.
1,7,761,5327
Greatest Common Factor
We found the factors 2033,5327 . The biggest common factor number is the GCF number.
So the greatest common factor 2033,5327 is 1.
Lets's calculate LCM of 960,8903
Given numbers has no common factors except 1. So, there LCM is their product i.e 8546880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8546880
Therefore, the GCF of Fractions 2033/960,5327/8903 is 1/8546880
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 960,8903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,8903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(960,8903) x common factors =1 x 1 = 1
LCM(960,8903) = ( 960 × 8903 ) / 1
LCM(960,8903) = 8546880 / 1
LCM(960,8903) = 8546880
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 2033/960, 5327/8903?
Answer: GCF of Numerators as per given numbers 2033/960, 5327/8903 is
GCF of Numerators i.e. for 2033,5327 is 1
LCM of denominators i.e. for 960,8903 is 8546880.
Thus, GCF of Fractions is 1/8546880.Finally, GCF of Fractions for 2033/960, 5327/8903 is 1/8546880.