Use our free GCF of Fractions Calculator tool to compute the GCF of 510/173, 504/457 i.e 6/79061 easily. The following is the detailed procedure to determine the greatest common factor of fractions 510/173, 504/457.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 510/173,504/457
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 510/173,504/457, numerators are 510,504
Denominators are 173,457
The GCF of 510,504 is 6 .
LCM of 173,457 is 79061.
The greatest common factor of 510/173,504/457 = [GCF of 510,504]/[LCM of 173,457]= 6/79061
Therefore, the GCF of 510/173,504/457 is 6/79061.
To find the highest common factor of 510,504, we have to find the factors of both numbers and list the highest common factor.
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
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 510,504 is 6.
Lets's calculate GCF of 510,504
2 | 510, 504 |
3 | 255, 252 |
85, 84 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
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 510,504 . The biggest common factor number is the GCF number.
So the greatest common factor 510,504 is 6.
Lets's calculate LCM of 173,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 79061
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/79061
Therefore, the GCF of Fractions 510/173,504/457 is 6/79061
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 173,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,457) x common factors =1 x 1 = 1
LCM(173,457) = ( 173 × 457 ) / 1
LCM(173,457) = 79061 / 1
LCM(173,457) = 79061
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 510,504?
The HCF of 510,504 is 6
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 510/173, 504/457?
Answer: GCF of Numerators as per given numbers 510/173, 504/457 is
GCF of Numerators i.e. for 510,504 is 6
LCM of denominators i.e. for 173,457 is 79061.
Thus, GCF of Fractions is 6/79061.Finally, GCF of Fractions for 510/173, 504/457 is 6/79061.