Use our free GCF of Fractions Calculator tool to compute the GCF of 195/407, 504/332 i.e 3/135124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 195/407, 504/332.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 195/407,504/332
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 195/407,504/332, numerators are 195,504
Denominators are 407,332
The GCF of 195,504 is 3 .
LCM of 407,332 is 135124.
The greatest common factor of 195/407,504/332 = [GCF of 195,504]/[LCM of 407,332]= 3/135124
Therefore, the GCF of 195/407,504/332 is 3/135124.
To find the highest common factor of 195,504, we have to find the factors of both numbers and list the highest common factor.
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195
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 195,504 is 3.
Lets's calculate GCF of 195,504
3 | 195, 504 |
65, 168 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 195
:1,3,5,13,15,39,65,195
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 195,504 . The biggest common factor number is the GCF number.
So the greatest common factor 195,504 is 3.
Lets's calculate LCM of 407,332
Given numbers has no common factors except 1. So, there LCM is their product i.e 135124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/135124
Therefore, the GCF of Fractions 195/407,504/332 is 3/135124
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 407,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,332) x common factors =1 x 1 = 1
LCM(407,332) = ( 407 × 332 ) / 1
LCM(407,332) = 135124 / 1
LCM(407,332) = 135124
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 195,504?
The HCF of 195,504 is 3
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 195/407, 504/332?
Answer: GCF of Numerators as per given numbers 195/407, 504/332 is
GCF of Numerators i.e. for 195,504 is 3
LCM of denominators i.e. for 407,332 is 135124.
Thus, GCF of Fractions is 3/135124.Finally, GCF of Fractions for 195/407, 504/332 is 3/135124.