Use our free GCF of Fractions Calculator tool to compute the GCF of 741/794, 183/509 i.e 3/404146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/794, 183/509.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 741/794,183/509
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 741/794,183/509, numerators are 741,183
Denominators are 794,509
The GCF of 741,183 is 3 .
LCM of 794,509 is 404146.
The greatest common factor of 741/794,183/509 = [GCF of 741,183]/[LCM of 794,509]= 3/404146
Therefore, the GCF of 741/794,183/509 is 3/404146.
To find the highest common factor of 741,183, 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 183 are 1, 3, 61, 183
The HCF of 741,183 is 3.
Lets's calculate GCF of 741,183
3 | 741, 183 |
247, 61 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Now, list down the factors of 183
:1,3,61,183
Greatest Common Factor
We found the factors 741,183 . The biggest common factor number is the GCF number.
So the greatest common factor 741,183 is 3.
Lets's calculate LCM of 794,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 404146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/404146
Therefore, the GCF of Fractions 741/794,183/509 is 3/404146
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 794,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(794,509) x common factors =1 x 1 = 1
LCM(794,509) = ( 794 × 509 ) / 1
LCM(794,509) = 404146 / 1
LCM(794,509) = 404146
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 741,183?
The HCF of 741,183 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 741/794, 183/509?
Answer: GCF of Numerators as per given numbers 741/794, 183/509 is
GCF of Numerators i.e. for 741,183 is 3
LCM of denominators i.e. for 794,509 is 404146.
Thus, GCF of Fractions is 3/404146.Finally, GCF of Fractions for 741/794, 183/509 is 3/404146.