Use our free GCF of Fractions Calculator tool to compute the GCF of 660/323, 728/543 i.e 4/175389 easily. The following is the detailed procedure to determine the greatest common factor of fractions 660/323, 728/543.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 660/323,728/543
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 660/323,728/543, numerators are 660,728
Denominators are 323,543
The GCF of 660,728 is 4 .
LCM of 323,543 is 175389.
The greatest common factor of 660/323,728/543 = [GCF of 660,728]/[LCM of 323,543]= 4/175389
Therefore, the GCF of 660/323,728/543 is 4/175389.
To find the highest common factor of 660,728, we have to find the factors of both numbers and list the highest common factor.
The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 660,728 is 4.
Lets's calculate GCF of 660,728
2 | 660, 728 |
2 | 330, 364 |
165, 182 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 660
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 660,728 . The biggest common factor number is the GCF number.
So the greatest common factor 660,728 is 4.
Lets's calculate LCM of 323,543
Given numbers has no common factors except 1. So, there LCM is their product i.e 175389
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/175389
Therefore, the GCF of Fractions 660/323,728/543 is 4/175389
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 323,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,543) x common factors =1 x 1 = 1
LCM(323,543) = ( 323 × 543 ) / 1
LCM(323,543) = 175389 / 1
LCM(323,543) = 175389
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 660,728?
The HCF of 660,728 is 4
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 660/323, 728/543?
Answer: GCF of Numerators as per given numbers 660/323, 728/543 is
GCF of Numerators i.e. for 660,728 is 4
LCM of denominators i.e. for 323,543 is 175389.
Thus, GCF of Fractions is 4/175389.Finally, GCF of Fractions for 660/323, 728/543 is 4/175389.