Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8984/203,7233/165
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 8984,7233
Greatest Common Factor of Numerators i.e. GCF of 8984,7233 is 1 .
LCM of Denominators means LCM of 203,165 as per the given fractions.
LCM of 203,165 is 33495 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8984,7233
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8984
List of positive integer factors of 8984 that divides 8984 without a remainder.
1,2,4,8,1123,2246,4492,8984
Factors of 7233
List of positive integer factors of 7233 that divides 7233 without a remainder.
1,3,2411,7233
Greatest Common Factor
We found the factors 8984,7233 . The biggest common factor number is the GCF number.
So the greatest common factor 8984,7233 is 1.
Lets's calculate LCM of 203,165
Given numbers has no common factors except 1. So, there LCM is their product i.e 33495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33495
Therefore, the GCF of Fractions 8984/203,7233/165 is 1/33495
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 203,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,165) x common factors =1 x 1 = 1
LCM(203,165) = ( 203 × 165 ) / 1
LCM(203,165) = 33495 / 1
LCM(203,165) = 33495
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 8984/203, 7233/165?
Answer: GCF of Numerators as per given numbers 8984/203, 7233/165 is
GCF of Numerators i.e. for 8984,7233 is 1
LCM of denominators i.e. for 203,165 is 33495.
Thus, GCF of Fractions is 1/33495.Finally, GCF of Fractions for 8984/203, 7233/165 is 1/33495.