Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6900/748,8353/6115
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 6900,8353
Greatest Common Factor of Numerators i.e. GCF of 6900,8353 is 1 .
LCM of Denominators means LCM of 748,6115 as per the given fractions.
LCM of 748,6115 is 4574020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6900,8353
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6900
List of positive integer factors of 6900 that divides 6900 without a remainder.
1,2,3,4,5,6,10,12,15,20,23,25,30,46,50,60,69,75,92,100,115,138,150,230,276,300,345,460,575,690,1150,1380,1725,2300,3450,6900
Factors of 8353
List of positive integer factors of 8353 that divides 8353 without a remainder.
1,8353
Greatest Common Factor
We found the factors 6900,8353 . The biggest common factor number is the GCF number.
So the greatest common factor 6900,8353 is 1.
Lets's calculate LCM of 748,6115
Given numbers has no common factors except 1. So, there LCM is their product i.e 4574020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4574020
Therefore, the GCF of Fractions 6900/748,8353/6115 is 1/4574020
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 748,6115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,6115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(748,6115) x common factors =1 x 1 = 1
LCM(748,6115) = ( 748 × 6115 ) / 1
LCM(748,6115) = 4574020 / 1
LCM(748,6115) = 4574020
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 6900/748, 8353/6115?
Answer: GCF of Numerators as per given numbers 6900/748, 8353/6115 is
GCF of Numerators i.e. for 6900,8353 is 1
LCM of denominators i.e. for 748,6115 is 4574020.
Thus, GCF of Fractions is 1/4574020.Finally, GCF of Fractions for 6900/748, 8353/6115 is 1/4574020.