Use our free GCF of Fractions Calculator tool to compute the GCF of 7969/159, 5999/9048 i.e 1/479544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7969/159, 5999/9048.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7969/159,5999/9048
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 7969/159,5999/9048, numerators are 7969,5999
Denominators are 159,9048
The GCF of 7969,5999 is 1 .
LCM of 159,9048 is 479544.
The greatest common factor of 7969/159,5999/9048 = [GCF of 7969,5999]/[LCM of 159,9048]= 1/479544
Therefore, the GCF of 7969/159,5999/9048 is 1/479544.
To find the highest common factor of 7969,5999, we have to find the factors of both numbers and list the highest common factor.
The factors of 7969 are 1, 13, 613, 7969
The factors of 5999 are 1, 7, 857, 5999
The HCF of 7969,5999 is 1.
Lets's calculate GCF of 7969,5999
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7969
:1,13,613,7969
Now, list down the factors of 5999
:1,7,857,5999
Greatest Common Factor
We found the factors 7969,5999 . The biggest common factor number is the GCF number.
So the greatest common factor 7969,5999 is 1.
Lets's calculate LCM of 159,9048
3 | 159, 9048 |
53, 3016 |
∴ So the LCM of the given numbers is 3 x 53 x 3016 = 479544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/479544
Therefore, the GCF of Fractions 7969/159,5999/9048 is 1/479544
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 159,9048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,9048) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,9048) x common factors =3 x 1 = 3
LCM(159,9048) = ( 159 × 9048 ) / 3
LCM(159,9048) = 1438632 / 3
LCM(159,9048) = 479544
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7969,5999?
The HCF of 7969,5999 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 7969/159, 5999/9048?
Answer: GCF of Numerators as per given numbers 7969/159, 5999/9048 is
GCF of Numerators i.e. for 7969,5999 is 1
LCM of denominators i.e. for 159,9048 is 479544.
Thus, GCF of Fractions is 1/479544.Finally, GCF of Fractions for 7969/159, 5999/9048 is 1/479544.