Use our free GCF of Fractions Calculator tool to compute the GCF of 9032/185, 2115/7885 i.e 1/291745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9032/185, 2115/7885.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9032/185,2115/7885
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 9032/185,2115/7885, numerators are 9032,2115
Denominators are 185,7885
The GCF of 9032,2115 is 1 .
LCM of 185,7885 is 291745.
The greatest common factor of 9032/185,2115/7885 = [GCF of 9032,2115]/[LCM of 185,7885]= 1/291745
Therefore, the GCF of 9032/185,2115/7885 is 1/291745.
To find the highest common factor of 9032,2115, we have to find the factors of both numbers and list the highest common factor.
The factors of 9032 are 1, 2, 4, 8, 1129, 2258, 4516, 9032
The factors of 2115 are 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115
The HCF of 9032,2115 is 1.
Lets's calculate GCF of 9032,2115
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9032
:1,2,4,8,1129,2258,4516,9032
Now, list down the factors of 2115
:1,3,5,9,15,45,47,141,235,423,705,2115
Greatest Common Factor
We found the factors 9032,2115 . The biggest common factor number is the GCF number.
So the greatest common factor 9032,2115 is 1.
Lets's calculate LCM of 185,7885
5 | 185, 7885 |
37, 1577 |
∴ So the LCM of the given numbers is 5 x 37 x 1577 = 291745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291745
Therefore, the GCF of Fractions 9032/185,2115/7885 is 1/291745
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 185,7885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,7885) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(185,7885) x common factors =5 x 1 = 5
LCM(185,7885) = ( 185 × 7885 ) / 5
LCM(185,7885) = 1458725 / 5
LCM(185,7885) = 291745
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9032,2115?
The HCF of 9032,2115 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 9032/185, 2115/7885?
Answer: GCF of Numerators as per given numbers 9032/185, 2115/7885 is
GCF of Numerators i.e. for 9032,2115 is 1
LCM of denominators i.e. for 185,7885 is 291745.
Thus, GCF of Fractions is 1/291745.Finally, GCF of Fractions for 9032/185, 2115/7885 is 1/291745.