Use our free GCF of Fractions Calculator tool to compute the GCF of 845/813, 299/519 i.e 13/140649 easily. The following is the detailed procedure to determine the greatest common factor of fractions 845/813, 299/519.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 845/813,299/519
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 845/813,299/519, numerators are 845,299
Denominators are 813,519
The GCF of 845,299 is 13 .
LCM of 813,519 is 140649.
The greatest common factor of 845/813,299/519 = [GCF of 845,299]/[LCM of 813,519]= 13/140649
Therefore, the GCF of 845/813,299/519 is 13/140649.
To find the highest common factor of 845,299, we have to find the factors of both numbers and list the highest common factor.
The factors of 845 are 1, 5, 13, 65, 169, 845
The factors of 299 are 1, 13, 23, 299
The HCF of 845,299 is 13.
Lets's calculate GCF of 845,299
13 | 845, 299 |
65, 23 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 845
:1,5,13,65,169,845
Now, list down the factors of 299
:1,13,23,299
Greatest Common Factor
We found the factors 845,299 . The biggest common factor number is the GCF number.
So the greatest common factor 845,299 is 13.
Lets's calculate LCM of 813,519
3 | 813, 519 |
271, 173 |
∴ So the LCM of the given numbers is 3 x 271 x 173 = 140649
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/140649
Therefore, the GCF of Fractions 845/813,299/519 is 13/140649
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 813,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,519) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(813,519) x common factors =3 x 1 = 3
LCM(813,519) = ( 813 × 519 ) / 3
LCM(813,519) = 421947 / 3
LCM(813,519) = 140649
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 845,299?
The HCF of 845,299 is 13
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 845/813, 299/519?
Answer: GCF of Numerators as per given numbers 845/813, 299/519 is
GCF of Numerators i.e. for 845,299 is 13
LCM of denominators i.e. for 813,519 is 140649.
Thus, GCF of Fractions is 13/140649.Finally, GCF of Fractions for 845/813, 299/519 is 13/140649.