Use our free GCF of Fractions Calculator tool to compute the GCF of 9987/756, 5834/2235 i.e 1/563220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9987/756, 5834/2235.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9987/756,5834/2235
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 9987/756,5834/2235, numerators are 9987,5834
Denominators are 756,2235
The GCF of 9987,5834 is 1 .
LCM of 756,2235 is 563220.
The greatest common factor of 9987/756,5834/2235 = [GCF of 9987,5834]/[LCM of 756,2235]= 1/563220
Therefore, the GCF of 9987/756,5834/2235 is 1/563220.
To find the highest common factor of 9987,5834, we have to find the factors of both numbers and list the highest common factor.
The factors of 9987 are 1, 3, 3329, 9987
The factors of 5834 are 1, 2, 2917, 5834
The HCF of 9987,5834 is 1.
Lets's calculate GCF of 9987,5834
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9987
:1,3,3329,9987
Now, list down the factors of 5834
:1,2,2917,5834
Greatest Common Factor
We found the factors 9987,5834 . The biggest common factor number is the GCF number.
So the greatest common factor 9987,5834 is 1.
Lets's calculate LCM of 756,2235
3 | 756, 2235 |
252, 745 |
∴ So the LCM of the given numbers is 3 x 252 x 745 = 563220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/563220
Therefore, the GCF of Fractions 9987/756,5834/2235 is 1/563220
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 756,2235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,2235) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(756,2235) x common factors =3 x 1 = 3
LCM(756,2235) = ( 756 × 2235 ) / 3
LCM(756,2235) = 1689660 / 3
LCM(756,2235) = 563220
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9987,5834?
The HCF of 9987,5834 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 9987/756, 5834/2235?
Answer: GCF of Numerators as per given numbers 9987/756, 5834/2235 is
GCF of Numerators i.e. for 9987,5834 is 1
LCM of denominators i.e. for 756,2235 is 563220.
Thus, GCF of Fractions is 1/563220.Finally, GCF of Fractions for 9987/756, 5834/2235 is 1/563220.