Use our free GCF of Fractions Calculator tool to compute the GCF of 513/994, 741/237 i.e 57/235578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 513/994, 741/237.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 513/994,741/237
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 513/994,741/237, numerators are 513,741
Denominators are 994,237
The GCF of 513,741 is 57 .
LCM of 994,237 is 235578.
The greatest common factor of 513/994,741/237 = [GCF of 513,741]/[LCM of 994,237]= 57/235578
Therefore, the GCF of 513/994,741/237 is 57/235578.
To find the highest common factor of 513,741, we have to find the factors of both numbers and list the highest common factor.
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The HCF of 513,741 is 57.
Lets's calculate GCF of 513,741
3 | 513, 741 |
19 | 171, 247 |
9, 13 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 513,741 . The biggest common factor number is the GCF number.
So the greatest common factor 513,741 is 57.
Lets's calculate LCM of 994,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 235578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/235578
Therefore, the GCF of Fractions 513/994,741/237 is 57/235578
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 994,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(994,237) x common factors =1 x 1 = 1
LCM(994,237) = ( 994 × 237 ) / 1
LCM(994,237) = 235578 / 1
LCM(994,237) = 235578
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 513,741?
The HCF of 513,741 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 513/994, 741/237?
Answer: GCF of Numerators as per given numbers 513/994, 741/237 is
GCF of Numerators i.e. for 513,741 is 57
LCM of denominators i.e. for 994,237 is 235578.
Thus, GCF of Fractions is 57/235578.Finally, GCF of Fractions for 513/994, 741/237 is 57/235578.