Use our free GCF of Fractions Calculator tool to compute the GCF of 518/845, 272/399 i.e 2/337155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 518/845, 272/399.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 518/845,272/399
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 518/845,272/399, numerators are 518,272
Denominators are 845,399
The GCF of 518,272 is 2 .
LCM of 845,399 is 337155.
The greatest common factor of 518/845,272/399 = [GCF of 518,272]/[LCM of 845,399]= 2/337155
Therefore, the GCF of 518/845,272/399 is 2/337155.
To find the highest common factor of 518,272, we have to find the factors of both numbers and list the highest common factor.
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
The HCF of 518,272 is 2.
Lets's calculate GCF of 518,272
2 | 518, 272 |
259, 136 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Now, list down the factors of 272
:1,2,4,8,16,17,34,68,136,272
Greatest Common Factor
We found the factors 518,272 . The biggest common factor number is the GCF number.
So the greatest common factor 518,272 is 2.
Lets's calculate LCM of 845,399
Given numbers has no common factors except 1. So, there LCM is their product i.e 337155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/337155
Therefore, the GCF of Fractions 518/845,272/399 is 2/337155
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 845,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,399) x common factors =1 x 1 = 1
LCM(845,399) = ( 845 × 399 ) / 1
LCM(845,399) = 337155 / 1
LCM(845,399) = 337155
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 518,272?
The HCF of 518,272 is 2
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 518/845, 272/399?
Answer: GCF of Numerators as per given numbers 518/845, 272/399 is
GCF of Numerators i.e. for 518,272 is 2
LCM of denominators i.e. for 845,399 is 337155.
Thus, GCF of Fractions is 2/337155.Finally, GCF of Fractions for 518/845, 272/399 is 2/337155.