Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 394/993,1643/6572
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 394,1643
Greatest Common Factor of Numerators i.e. GCF of 394,1643 is 1 .
LCM of Denominators means LCM of 993,6572 as per the given fractions.
LCM of 993,6572 is 6525996 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 394,1643
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 1643
List of positive integer factors of 1643 that divides 1643 without a remainder.
1,31,53,1643
Greatest Common Factor
We found the factors 394,1643 . The biggest common factor number is the GCF number.
So the greatest common factor 394,1643 is 1.
Lets's calculate LCM of 993,6572
Given numbers has no common factors except 1. So, there LCM is their product i.e 6525996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6525996
Therefore, the GCF of Fractions 394/993,1643/6572 is 1/6525996
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 993,6572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,6572) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,6572) x common factors =1 x 1 = 1
LCM(993,6572) = ( 993 × 6572 ) / 1
LCM(993,6572) = 6525996 / 1
LCM(993,6572) = 6525996
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 394/993, 1643/6572?
Answer: GCF of Numerators as per given numbers 394/993, 1643/6572 is
GCF of Numerators i.e. for 394,1643 is 1
LCM of denominators i.e. for 993,6572 is 6525996.
Thus, GCF of Fractions is 1/6525996.Finally, GCF of Fractions for 394/993, 1643/6572 is 1/6525996.