Use our free GCF of Fractions Calculator tool to compute the GCF of 1195/389, 8080/753 i.e 5/292917 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1195/389, 8080/753.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1195/389,8080/753
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 1195/389,8080/753, numerators are 1195,8080
Denominators are 389,753
The GCF of 1195,8080 is 5 .
LCM of 389,753 is 292917.
The greatest common factor of 1195/389,8080/753 = [GCF of 1195,8080]/[LCM of 389,753]= 5/292917
Therefore, the GCF of 1195/389,8080/753 is 5/292917.
To find the highest common factor of 1195,8080, we have to find the factors of both numbers and list the highest common factor.
The factors of 1195 are 1, 5, 239, 1195
The factors of 8080 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 101, 202, 404, 505, 808, 1010, 1616, 2020, 4040, 8080
The HCF of 1195,8080 is 5.
Lets's calculate GCF of 1195,8080
5 | 1195, 8080 |
239, 1616 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 1195
:1,5,239,1195
Now, list down the factors of 8080
:1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080
Greatest Common Factor
We found the factors 1195,8080 . The biggest common factor number is the GCF number.
So the greatest common factor 1195,8080 is 5.
Lets's calculate LCM of 389,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 292917
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/292917
Therefore, the GCF of Fractions 1195/389,8080/753 is 5/292917
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 389,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,753) x common factors =1 x 1 = 1
LCM(389,753) = ( 389 × 753 ) / 1
LCM(389,753) = 292917 / 1
LCM(389,753) = 292917
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1195,8080?
The HCF of 1195,8080 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 1195/389, 8080/753?
Answer: GCF of Numerators as per given numbers 1195/389, 8080/753 is
GCF of Numerators i.e. for 1195,8080 is 5
LCM of denominators i.e. for 389,753 is 292917.
Thus, GCF of Fractions is 5/292917.Finally, GCF of Fractions for 1195/389, 8080/753 is 5/292917.