Use our free GCF of Fractions Calculator tool to compute the GCF of 397/330, 504/642 i.e 1/35310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 397/330, 504/642.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 397/330,504/642
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 397/330,504/642, numerators are 397,504
Denominators are 330,642
The GCF of 397,504 is 1 .
LCM of 330,642 is 35310.
The greatest common factor of 397/330,504/642 = [GCF of 397,504]/[LCM of 330,642]= 1/35310
Therefore, the GCF of 397/330,504/642 is 1/35310.
To find the highest common factor of 397,504, we have to find the factors of both numbers and list the highest common factor.
The factors of 397 are 1, 397
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The HCF of 397,504 is 1.
Lets's calculate GCF of 397,504
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 397
:1,397
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 397,504 . The biggest common factor number is the GCF number.
So the greatest common factor 397,504 is 1.
Lets's calculate LCM of 330,642
2 | 330, 642 |
3 | 165, 321 |
55, 107 |
∴ So the LCM of the given numbers is 2 x 3 x 55 x 107 = 35310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35310
Therefore, the GCF of Fractions 397/330,504/642 is 1/35310
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 330,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,642) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(330,642) x common factors =6 x 1 = 6
LCM(330,642) = ( 330 × 642 ) / 6
LCM(330,642) = 211860 / 6
LCM(330,642) = 35310
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 397,504?
The HCF of 397,504 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 397/330, 504/642?
Answer: GCF of Numerators as per given numbers 397/330, 504/642 is
GCF of Numerators i.e. for 397,504 is 1
LCM of denominators i.e. for 330,642 is 35310.
Thus, GCF of Fractions is 1/35310.Finally, GCF of Fractions for 397/330, 504/642 is 1/35310.