Use our free GCF of Fractions Calculator tool to compute the GCF of 399/331, 231/572 i.e 21/189332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 399/331, 231/572.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 399/331,231/572
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 399/331,231/572, numerators are 399,231
Denominators are 331,572
The GCF of 399,231 is 21 .
LCM of 331,572 is 189332.
The greatest common factor of 399/331,231/572 = [GCF of 399,231]/[LCM of 331,572]= 21/189332
Therefore, the GCF of 399/331,231/572 is 21/189332.
To find the highest common factor of 399,231, we have to find the factors of both numbers and list the highest common factor.
The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231
The HCF of 399,231 is 21.
Lets's calculate GCF of 399,231
3 | 399, 231 |
7 | 133, 77 |
19, 11 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Now, list down the factors of 399
:1,3,7,19,21,57,133,399
Now, list down the factors of 231
:1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 399,231 . The biggest common factor number is the GCF number.
So the greatest common factor 399,231 is 21.
Lets's calculate LCM of 331,572
Given numbers has no common factors except 1. So, there LCM is their product i.e 189332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/189332
Therefore, the GCF of Fractions 399/331,231/572 is 21/189332
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 331,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,572) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,572) x common factors =1 x 1 = 1
LCM(331,572) = ( 331 × 572 ) / 1
LCM(331,572) = 189332 / 1
LCM(331,572) = 189332
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 399,231?
The HCF of 399,231 is 21
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 399/331, 231/572?
Answer: GCF of Numerators as per given numbers 399/331, 231/572 is
GCF of Numerators i.e. for 399,231 is 21
LCM of denominators i.e. for 331,572 is 189332.
Thus, GCF of Fractions is 21/189332.Finally, GCF of Fractions for 399/331, 231/572 is 21/189332.