Use our free GCF of Fractions Calculator tool to compute the GCF of 9059/265, 9930/7973 i.e 1/2112845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9059/265, 9930/7973.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9059/265,9930/7973
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 9059/265,9930/7973, numerators are 9059,9930
Denominators are 265,7973
The GCF of 9059,9930 is 1 .
LCM of 265,7973 is 2112845.
The greatest common factor of 9059/265,9930/7973 = [GCF of 9059,9930]/[LCM of 265,7973]= 1/2112845
Therefore, the GCF of 9059/265,9930/7973 is 1/2112845.
To find the highest common factor of 9059,9930, we have to find the factors of both numbers and list the highest common factor.
The factors of 9059 are 1, 9059
The factors of 9930 are 1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930
The HCF of 9059,9930 is 1.
Lets's calculate GCF of 9059,9930
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9059
:1,9059
Now, list down the factors of 9930
:1,2,3,5,6,10,15,30,331,662,993,1655,1986,3310,4965,9930
Greatest Common Factor
We found the factors 9059,9930 . The biggest common factor number is the GCF number.
So the greatest common factor 9059,9930 is 1.
Lets's calculate LCM of 265,7973
Given numbers has no common factors except 1. So, there LCM is their product i.e 2112845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2112845
Therefore, the GCF of Fractions 9059/265,9930/7973 is 1/2112845
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 265,7973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,7973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(265,7973) x common factors =1 x 1 = 1
LCM(265,7973) = ( 265 × 7973 ) / 1
LCM(265,7973) = 2112845 / 1
LCM(265,7973) = 2112845
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9059,9930?
The HCF of 9059,9930 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 9059/265, 9930/7973?
Answer: GCF of Numerators as per given numbers 9059/265, 9930/7973 is
GCF of Numerators i.e. for 9059,9930 is 1
LCM of denominators i.e. for 265,7973 is 2112845.
Thus, GCF of Fractions is 1/2112845.Finally, GCF of Fractions for 9059/265, 9930/7973 is 1/2112845.