Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8925/11,3629/697
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 8925,3629
Greatest Common Factor of Numerators i.e. GCF of 8925,3629 is 1 .
LCM of Denominators means LCM of 11,697 as per the given fractions.
LCM of 11,697 is 7667 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8925,3629
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8925
List of positive integer factors of 8925 that divides 8925 without a remainder.
1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925
Factors of 3629
List of positive integer factors of 3629 that divides 3629 without a remainder.
1,19,191,3629
Greatest Common Factor
We found the factors 8925,3629 . The biggest common factor number is the GCF number.
So the greatest common factor 8925,3629 is 1.
Lets's calculate LCM of 11,697
Given numbers has no common factors except 1. So, there LCM is their product i.e 7667
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7667
Therefore, the GCF of Fractions 8925/11,3629/697 is 1/7667
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 11,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,697) x common factors =1 x 1 = 1
LCM(11,697) = ( 11 × 697 ) / 1
LCM(11,697) = 7667 / 1
LCM(11,697) = 7667
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 8925/11, 3629/697?
Answer: GCF of Numerators as per given numbers 8925/11, 3629/697 is
GCF of Numerators i.e. for 8925,3629 is 1
LCM of denominators i.e. for 11,697 is 7667.
Thus, GCF of Fractions is 1/7667.Finally, GCF of Fractions for 8925/11, 3629/697 is 1/7667.