Use our free GCF of Fractions Calculator tool to compute the GCF of 4243/304, 3994/623 i.e 1/189392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4243/304, 3994/623.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4243/304,3994/623
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4243/304,3994/623, numerators are 4243,3994
Denominators are 304,623
The GCF of 4243,3994 is 1 .
LCM of 304,623 is 189392.
The greatest common factor of 4243/304,3994/623 = [GCF of 4243,3994]/[LCM of 304,623]= 1/189392
Therefore, the GCF of 4243/304,3994/623 is 1/189392.
To find the highest common factor of 4243,3994, we have to find the factors of both numbers and list the highest common factor.
The factors of 4243 are 1, 4243
The factors of 3994 are 1, 2, 1997, 3994
The HCF of 4243,3994 is 1.
Lets's calculate GCF of 4243,3994
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4243
:1,4243
Now, list down the factors of 3994
:1,2,1997,3994
Greatest Common Factor
We found the factors 4243,3994 . The biggest common factor number is the GCF number.
So the greatest common factor 4243,3994 is 1.
Lets's calculate LCM of 304,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 189392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189392
Therefore, the GCF of Fractions 4243/304,3994/623 is 1/189392
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 304,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,623) x common factors =1 x 1 = 1
LCM(304,623) = ( 304 × 623 ) / 1
LCM(304,623) = 189392 / 1
LCM(304,623) = 189392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4243,3994?
The HCF of 4243,3994 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 4243/304, 3994/623?
Answer: GCF of Numerators as per given numbers 4243/304, 3994/623 is
GCF of Numerators i.e. for 4243,3994 is 1
LCM of denominators i.e. for 304,623 is 189392.
Thus, GCF of Fractions is 1/189392.Finally, GCF of Fractions for 4243/304, 3994/623 is 1/189392.