Use our free GCF of Fractions Calculator tool to compute the GCF of 399/426, 342/575 i.e 57/244950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 399/426, 342/575.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 399/426,342/575
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 399/426,342/575, numerators are 399,342
Denominators are 426,575
The GCF of 399,342 is 57 .
LCM of 426,575 is 244950.
The greatest common factor of 399/426,342/575 = [GCF of 399,342]/[LCM of 426,575]= 57/244950
Therefore, the GCF of 399/426,342/575 is 57/244950.
To find the highest common factor of 399,342, 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 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The HCF of 399,342 is 57.
Lets's calculate GCF of 399,342
3 | 399, 342 |
19 | 133, 114 |
7, 6 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Now, list down the factors of 399
:1,3,7,19,21,57,133,399
Now, list down the factors of 342
:1,2,3,6,9,18,19,38,57,114,171,342
Greatest Common Factor
We found the factors 399,342 . The biggest common factor number is the GCF number.
So the greatest common factor 399,342 is 57.
Lets's calculate LCM of 426,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 244950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/244950
Therefore, the GCF of Fractions 399/426,342/575 is 57/244950
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 426,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(426,575) x common factors =1 x 1 = 1
LCM(426,575) = ( 426 × 575 ) / 1
LCM(426,575) = 244950 / 1
LCM(426,575) = 244950
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 399,342?
The HCF of 399,342 is 57
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 399/426, 342/575?
Answer: GCF of Numerators as per given numbers 399/426, 342/575 is
GCF of Numerators i.e. for 399,342 is 57
LCM of denominators i.e. for 426,575 is 244950.
Thus, GCF of Fractions is 57/244950.Finally, GCF of Fractions for 399/426, 342/575 is 57/244950.