Use our free GCF of Fractions Calculator tool to compute the GCF of 998/75, 843/519 i.e 1/12975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 998/75, 843/519.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 998/75,843/519
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 998/75,843/519, numerators are 998,843
Denominators are 75,519
The GCF of 998,843 is 1 .
LCM of 75,519 is 12975.
The greatest common factor of 998/75,843/519 = [GCF of 998,843]/[LCM of 75,519]= 1/12975
Therefore, the GCF of 998/75,843/519 is 1/12975.
To find the highest common factor of 998,843, we have to find the factors of both numbers and list the highest common factor.
The factors of 998 are 1, 2, 499, 998
The factors of 843 are 1, 3, 281, 843
The HCF of 998,843 is 1.
Lets's calculate GCF of 998,843
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 998
:1,2,499,998
Now, list down the factors of 843
:1,3,281,843
Greatest Common Factor
We found the factors 998,843 . The biggest common factor number is the GCF number.
So the greatest common factor 998,843 is 1.
Lets's calculate LCM of 75,519
3 | 75, 519 |
25, 173 |
∴ So the LCM of the given numbers is 3 x 25 x 173 = 12975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12975
Therefore, the GCF of Fractions 998/75,843/519 is 1/12975
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 75,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,519) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(75,519) x common factors =3 x 1 = 3
LCM(75,519) = ( 75 × 519 ) / 3
LCM(75,519) = 38925 / 3
LCM(75,519) = 12975
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 998,843?
The HCF of 998,843 is 1
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 998/75, 843/519?
Answer: GCF of Numerators as per given numbers 998/75, 843/519 is
GCF of Numerators i.e. for 998,843 is 1
LCM of denominators i.e. for 75,519 is 12975.
Thus, GCF of Fractions is 1/12975.Finally, GCF of Fractions for 998/75, 843/519 is 1/12975.