Use our free GCF of Fractions Calculator tool to compute the GCF of 273/440, 518/326 i.e 7/71720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 273/440, 518/326.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 273/440,518/326
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 273/440,518/326, numerators are 273,518
Denominators are 440,326
The GCF of 273,518 is 7 .
LCM of 440,326 is 71720.
The greatest common factor of 273/440,518/326 = [GCF of 273,518]/[LCM of 440,326]= 7/71720
Therefore, the GCF of 273/440,518/326 is 7/71720.
To find the highest common factor of 273,518, we have to find the factors of both numbers and list the highest common factor.
The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The HCF of 273,518 is 7.
Lets's calculate GCF of 273,518
7 | 273, 518 |
39, 74 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 273
:1,3,7,13,21,39,91,273
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 273,518 . The biggest common factor number is the GCF number.
So the greatest common factor 273,518 is 7.
Lets's calculate LCM of 440,326
2 | 440, 326 |
220, 163 |
∴ So the LCM of the given numbers is 2 x 220 x 163 = 71720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/71720
Therefore, the GCF of Fractions 273/440,518/326 is 7/71720
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 440,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(440,326) x common factors =2 x 1 = 2
LCM(440,326) = ( 440 × 326 ) / 2
LCM(440,326) = 143440 / 2
LCM(440,326) = 71720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 273,518?
The HCF of 273,518 is 7
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 273/440, 518/326?
Answer: GCF of Numerators as per given numbers 273/440, 518/326 is
GCF of Numerators i.e. for 273,518 is 7
LCM of denominators i.e. for 440,326 is 71720.
Thus, GCF of Fractions is 7/71720.Finally, GCF of Fractions for 273/440, 518/326 is 7/71720.