Use our free GCF of Fractions Calculator tool to compute the GCF of 5000/726, 9291/726 i.e 1/726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5000/726, 9291/726.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5000/726,9291/726
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 5000/726,9291/726, numerators are 5000,9291
Denominators are 726,726
The GCF of 5000,9291 is 1 .
LCM of 726,726 is 726.
The greatest common factor of 5000/726,9291/726 = [GCF of 5000,9291]/[LCM of 726,726]= 1/726
Therefore, the GCF of 5000/726,9291/726 is 1/726.
To find the highest common factor of 5000,9291, we have to find the factors of both numbers and list the highest common factor.
The factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000
The factors of 9291 are 1, 3, 19, 57, 163, 489, 3097, 9291
The HCF of 5000,9291 is 1.
Lets's calculate GCF of 5000,9291
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5000
:1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,625,1000,1250,2500,5000
Now, list down the factors of 9291
:1,3,19,57,163,489,3097,9291
Greatest Common Factor
We found the factors 5000,9291 . The biggest common factor number is the GCF number.
So the greatest common factor 5000,9291 is 1.
Lets's calculate LCM of 726,726
2 | 726, 726 |
3 | 363, 363 |
11 | 121, 121 |
11 | 11, 11 |
1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 11 x 1 x 1 = 726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/726
Therefore, the GCF of Fractions 5000/726,9291/726 is 1/726
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 726,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,726) = 726
common factors(in case of two or more numbers have common factors) = 1
GCF(726,726) x common factors =726 x 1 = 726
LCM(726,726) = ( 726 × 726 ) / 726
LCM(726,726) = 527076 / 726
LCM(726,726) = 726
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5000,9291?
The HCF of 5000,9291 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 5000/726, 9291/726?
Answer: GCF of Numerators as per given numbers 5000/726, 9291/726 is
GCF of Numerators i.e. for 5000,9291 is 1
LCM of denominators i.e. for 726,726 is 726.
Thus, GCF of Fractions is 1/726.Finally, GCF of Fractions for 5000/726, 9291/726 is 1/726.