Use our free GCF of Fractions Calculator tool to compute the GCF of 504/383, 794/505 i.e 2/193415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 504/383, 794/505.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 504/383,794/505
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 504/383,794/505, numerators are 504,794
Denominators are 383,505
The GCF of 504,794 is 2 .
LCM of 383,505 is 193415.
The greatest common factor of 504/383,794/505 = [GCF of 504,794]/[LCM of 383,505]= 2/193415
Therefore, the GCF of 504/383,794/505 is 2/193415.
To find the highest common factor of 504,794, we have to find the factors of both numbers and list the highest common factor.
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 factors of 794 are 1, 2, 397, 794
The HCF of 504,794 is 2.
Lets's calculate GCF of 504,794
2 | 504, 794 |
252, 397 |
∴ So the GCF of the given numbers is 2 = 2
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
Now, list down the factors of 794
:1,2,397,794
Greatest Common Factor
We found the factors 504,794 . The biggest common factor number is the GCF number.
So the greatest common factor 504,794 is 2.
Lets's calculate LCM of 383,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 193415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/193415
Therefore, the GCF of Fractions 504/383,794/505 is 2/193415
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 383,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,505) x common factors =1 x 1 = 1
LCM(383,505) = ( 383 × 505 ) / 1
LCM(383,505) = 193415 / 1
LCM(383,505) = 193415
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 504,794?
The HCF of 504,794 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 504/383, 794/505?
Answer: GCF of Numerators as per given numbers 504/383, 794/505 is
GCF of Numerators i.e. for 504,794 is 2
LCM of denominators i.e. for 383,505 is 193415.
Thus, GCF of Fractions is 2/193415.Finally, GCF of Fractions for 504/383, 794/505 is 2/193415.