GCF of 9855/446, 1815/7969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9855/446, 1815/7969 i.e 15/3554174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9855/446, 1815/7969.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9855/446,1815/7969?
Given fractions are 9855/446,1815/7969
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 9855/446,1815/7969, numerators are 9855,1815
Denominators are 446,7969
The GCF of 9855,1815 is 15 .
LCM of 446,7969 is 3554174.
The greatest common factor of 9855/446,1815/7969 = [GCF of 9855,1815]/[LCM of 446,7969]= 15/3554174
Therefore, the GCF of 9855/446,1815/7969 is 15/3554174.
To find the highest common factor of 9855,1815, we have to find the factors of both numbers and list the highest common factor.
The factors of 9855 are 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855
The factors of 1815 are 1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815
The HCF of 9855,1815 is 15.
Lets's calculate GCF of 9855,1815
| 3 | 9855, 1815 |
| 5 | 3285, 605 |
| 657, 121 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 9855,1815 By Matching Biggest Common Factor Method
Now, list down the factors of 9855
:1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855
Now, list down the factors of 1815
:1,3,5,11,15,33,55,121,165,363,605,1815
Greatest Common Factor
We found the factors 9855,1815 . The biggest common factor number is the GCF number.
So the greatest common factor 9855,1815 is 15.
Lets's calculate LCM of 446,7969
Given numbers has no common factors except 1. So, there LCM is their product i.e 3554174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/3554174
Therefore, the GCF of Fractions 9855/446,1815/7969 is 15/3554174
Least Common Multiple of 446,7969 with GCF Formula
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 446,7969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,7969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,7969) x common factors =1 x 1 = 1
LCM(446,7969) = ( 446 × 7969 ) / 1
LCM(446,7969) = 3554174 / 1
LCM(446,7969) = 3554174
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9855/446, 1815/7969
1. What is the HCF of 9855,1815?
The HCF of 9855,1815 is 15
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 9855/446, 1815/7969?
Answer: GCF of Numerators as per given numbers 9855/446, 1815/7969 is
GCF of Numerators i.e. for 9855,1815 is 15
LCM of denominators i.e. for 446,7969 is 3554174.
Thus, GCF of Fractions is 15/3554174.Finally, GCF of Fractions for 9855/446, 1815/7969 is 15/3554174.