Use our free GCF of Fractions Calculator tool to compute the GCF of 9857/580, 5437/3924 i.e 1/568980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9857/580, 5437/3924.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9857/580,5437/3924
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 9857/580,5437/3924, numerators are 9857,5437
Denominators are 580,3924
The GCF of 9857,5437 is 1 .
LCM of 580,3924 is 568980.
The greatest common factor of 9857/580,5437/3924 = [GCF of 9857,5437]/[LCM of 580,3924]= 1/568980
Therefore, the GCF of 9857/580,5437/3924 is 1/568980.
To find the highest common factor of 9857,5437, we have to find the factors of both numbers and list the highest common factor.
The factors of 9857 are 1, 9857
The factors of 5437 are 1, 5437
The HCF of 9857,5437 is 1.
Lets's calculate GCF of 9857,5437
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9857
:1,9857
Now, list down the factors of 5437
:1,5437
Greatest Common Factor
We found the factors 9857,5437 . The biggest common factor number is the GCF number.
So the greatest common factor 9857,5437 is 1.
Lets's calculate LCM of 580,3924
2 | 580, 3924 |
2 | 290, 1962 |
145, 981 |
∴ So the LCM of the given numbers is 2 x 2 x 145 x 981 = 568980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/568980
Therefore, the GCF of Fractions 9857/580,5437/3924 is 1/568980
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 580,3924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,3924) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(580,3924) x common factors =4 x 1 = 4
LCM(580,3924) = ( 580 × 3924 ) / 4
LCM(580,3924) = 2275920 / 4
LCM(580,3924) = 568980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9857,5437?
The HCF of 9857,5437 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 9857/580, 5437/3924?
Answer: GCF of Numerators as per given numbers 9857/580, 5437/3924 is
GCF of Numerators i.e. for 9857,5437 is 1
LCM of denominators i.e. for 580,3924 is 568980.
Thus, GCF of Fractions is 1/568980.Finally, GCF of Fractions for 9857/580, 5437/3924 is 1/568980.