Use our free GCF of Fractions Calculator tool to compute the GCF of 430/401, 198/592 i.e 2/237392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/401, 198/592.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 430/401,198/592
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 430/401,198/592, numerators are 430,198
Denominators are 401,592
The GCF of 430,198 is 2 .
LCM of 401,592 is 237392.
The greatest common factor of 430/401,198/592 = [GCF of 430,198]/[LCM of 401,592]= 2/237392
Therefore, the GCF of 430/401,198/592 is 2/237392.
To find the highest common factor of 430,198, we have to find the factors of both numbers and list the highest common factor.
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
The HCF of 430,198 is 2.
Lets's calculate GCF of 430,198
2 | 430, 198 |
215, 99 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Now, list down the factors of 198
:1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 430,198 . The biggest common factor number is the GCF number.
So the greatest common factor 430,198 is 2.
Lets's calculate LCM of 401,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 237392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/237392
Therefore, the GCF of Fractions 430/401,198/592 is 2/237392
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 401,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,592) x common factors =1 x 1 = 1
LCM(401,592) = ( 401 × 592 ) / 1
LCM(401,592) = 237392 / 1
LCM(401,592) = 237392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 430,198?
The HCF of 430,198 is 2
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 430/401, 198/592?
Answer: GCF of Numerators as per given numbers 430/401, 198/592 is
GCF of Numerators i.e. for 430,198 is 2
LCM of denominators i.e. for 401,592 is 237392.
Thus, GCF of Fractions is 2/237392.Finally, GCF of Fractions for 430/401, 198/592 is 2/237392.