Use our free GCF of Fractions Calculator tool to compute the GCF of 9499/986, 3131/8891 i.e 1/515678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9499/986, 3131/8891.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9499/986,3131/8891
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 9499/986,3131/8891, numerators are 9499,3131
Denominators are 986,8891
The GCF of 9499,3131 is 1 .
LCM of 986,8891 is 515678.
The greatest common factor of 9499/986,3131/8891 = [GCF of 9499,3131]/[LCM of 986,8891]= 1/515678
Therefore, the GCF of 9499/986,3131/8891 is 1/515678.
To find the highest common factor of 9499,3131, we have to find the factors of both numbers and list the highest common factor.
The factors of 9499 are 1, 7, 23, 59, 161, 413, 1357, 9499
The factors of 3131 are 1, 31, 101, 3131
The HCF of 9499,3131 is 1.
Lets's calculate GCF of 9499,3131
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9499
:1,7,23,59,161,413,1357,9499
Now, list down the factors of 3131
:1,31,101,3131
Greatest Common Factor
We found the factors 9499,3131 . The biggest common factor number is the GCF number.
So the greatest common factor 9499,3131 is 1.
Lets's calculate LCM of 986,8891
17 | 986, 8891 |
58, 523 |
∴ So the LCM of the given numbers is 17 x 58 x 523 = 515678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/515678
Therefore, the GCF of Fractions 9499/986,3131/8891 is 1/515678
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 986,8891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,8891) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(986,8891) x common factors =17 x 1 = 17
LCM(986,8891) = ( 986 × 8891 ) / 17
LCM(986,8891) = 8766526 / 17
LCM(986,8891) = 515678
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9499,3131?
The HCF of 9499,3131 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 9499/986, 3131/8891?
Answer: GCF of Numerators as per given numbers 9499/986, 3131/8891 is
GCF of Numerators i.e. for 9499,3131 is 1
LCM of denominators i.e. for 986,8891 is 515678.
Thus, GCF of Fractions is 1/515678.Finally, GCF of Fractions for 9499/986, 3131/8891 is 1/515678.