Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8325/22,8933/815
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 8325,8933
Greatest Common Factor of Numerators i.e. GCF of 8325,8933 is 1 .
LCM of Denominators means LCM of 22,815 as per the given fractions.
LCM of 22,815 is 17930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8325,8933
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8325
List of positive integer factors of 8325 that divides 8325 without a remainder.
1,3,5,9,15,25,37,45,75,111,185,225,333,555,925,1665,2775,8325
Factors of 8933
List of positive integer factors of 8933 that divides 8933 without a remainder.
1,8933
Greatest Common Factor
We found the factors 8325,8933 . The biggest common factor number is the GCF number.
So the greatest common factor 8325,8933 is 1.
Lets's calculate LCM of 22,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 17930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17930
Therefore, the GCF of Fractions 8325/22,8933/815 is 1/17930
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 22,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,815) x common factors =1 x 1 = 1
LCM(22,815) = ( 22 × 815 ) / 1
LCM(22,815) = 17930 / 1
LCM(22,815) = 17930
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 8325/22, 8933/815?
Answer: GCF of Numerators as per given numbers 8325/22, 8933/815 is
GCF of Numerators i.e. for 8325,8933 is 1
LCM of denominators i.e. for 22,815 is 17930.
Thus, GCF of Fractions is 1/17930.Finally, GCF of Fractions for 8325/22, 8933/815 is 1/17930.