Use our free GCF of Fractions Calculator tool to compute the GCF of 741/362, 513/550 i.e 57/99550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/362, 513/550.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 741/362,513/550
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 741/362,513/550, numerators are 741,513
Denominators are 362,550
The GCF of 741,513 is 57 .
LCM of 362,550 is 99550.
The greatest common factor of 741/362,513/550 = [GCF of 741,513]/[LCM of 362,550]= 57/99550
Therefore, the GCF of 741/362,513/550 is 57/99550.
To find the highest common factor of 741,513, we have to find the factors of both numbers and list the highest common factor.
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The HCF of 741,513 is 57.
Lets's calculate GCF of 741,513
3 | 741, 513 |
19 | 247, 171 |
13, 9 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 741,513 . The biggest common factor number is the GCF number.
So the greatest common factor 741,513 is 57.
Lets's calculate LCM of 362,550
2 | 362, 550 |
181, 275 |
∴ So the LCM of the given numbers is 2 x 181 x 275 = 99550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/99550
Therefore, the GCF of Fractions 741/362,513/550 is 57/99550
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 362,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,550) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,550) x common factors =2 x 1 = 2
LCM(362,550) = ( 362 × 550 ) / 2
LCM(362,550) = 199100 / 2
LCM(362,550) = 99550
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 741,513?
The HCF of 741,513 is 57
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 741/362, 513/550?
Answer: GCF of Numerators as per given numbers 741/362, 513/550 is
GCF of Numerators i.e. for 741,513 is 57
LCM of denominators i.e. for 362,550 is 99550.
Thus, GCF of Fractions is 57/99550.Finally, GCF of Fractions for 741/362, 513/550 is 57/99550.