Use our free GCF of Fractions Calculator tool to compute the GCF of 9160/288, 9595/5988 i.e 5/143712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9160/288, 9595/5988.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9160/288,9595/5988
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 9160/288,9595/5988, numerators are 9160,9595
Denominators are 288,5988
The GCF of 9160,9595 is 5 .
LCM of 288,5988 is 143712.
The greatest common factor of 9160/288,9595/5988 = [GCF of 9160,9595]/[LCM of 288,5988]= 5/143712
Therefore, the GCF of 9160/288,9595/5988 is 5/143712.
To find the highest common factor of 9160,9595, we have to find the factors of both numbers and list the highest common factor.
The factors of 9160 are 1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160
The factors of 9595 are 1, 5, 19, 95, 101, 505, 1919, 9595
The HCF of 9160,9595 is 5.
Lets's calculate GCF of 9160,9595
5 | 9160, 9595 |
1832, 1919 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 9160
:1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160
Now, list down the factors of 9595
:1,5,19,95,101,505,1919,9595
Greatest Common Factor
We found the factors 9160,9595 . The biggest common factor number is the GCF number.
So the greatest common factor 9160,9595 is 5.
Lets's calculate LCM of 288,5988
2 | 288, 5988 |
2 | 144, 2994 |
3 | 72, 1497 |
24, 499 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 24 x 499 = 143712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/143712
Therefore, the GCF of Fractions 9160/288,9595/5988 is 5/143712
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 288,5988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,5988) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(288,5988) x common factors =12 x 1 = 12
LCM(288,5988) = ( 288 × 5988 ) / 12
LCM(288,5988) = 1724544 / 12
LCM(288,5988) = 143712
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9160,9595?
The HCF of 9160,9595 is 5
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 9160/288, 9595/5988?
Answer: GCF of Numerators as per given numbers 9160/288, 9595/5988 is
GCF of Numerators i.e. for 9160,9595 is 5
LCM of denominators i.e. for 288,5988 is 143712.
Thus, GCF of Fractions is 5/143712.Finally, GCF of Fractions for 9160/288, 9595/5988 is 5/143712.