Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7388/383,8795/3629
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 7388,8795
Greatest Common Factor of Numerators i.e. GCF of 7388,8795 is 1 .
LCM of Denominators means LCM of 383,3629 as per the given fractions.
LCM of 383,3629 is 1389907 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7388,8795
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7388
List of positive integer factors of 7388 that divides 7388 without a remainder.
1,2,4,1847,3694,7388
Factors of 8795
List of positive integer factors of 8795 that divides 8795 without a remainder.
1,5,1759,8795
Greatest Common Factor
We found the factors 7388,8795 . The biggest common factor number is the GCF number.
So the greatest common factor 7388,8795 is 1.
Lets's calculate LCM of 383,3629
Given numbers has no common factors except 1. So, there LCM is their product i.e 1389907
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1389907
Therefore, the GCF of Fractions 7388/383,8795/3629 is 1/1389907
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 383,3629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,3629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,3629) x common factors =1 x 1 = 1
LCM(383,3629) = ( 383 × 3629 ) / 1
LCM(383,3629) = 1389907 / 1
LCM(383,3629) = 1389907
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 7388/383, 8795/3629?
Answer: GCF of Numerators as per given numbers 7388/383, 8795/3629 is
GCF of Numerators i.e. for 7388,8795 is 1
LCM of denominators i.e. for 383,3629 is 1389907.
Thus, GCF of Fractions is 1/1389907.Finally, GCF of Fractions for 7388/383, 8795/3629 is 1/1389907.