GCF of 9135/449, 8847/3321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9135/449, 8847/3321 i.e 9/1491129 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9135/449, 8847/3321.
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 9135/449,8847/3321?
Given fractions are 9135/449,8847/3321
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 9135/449,8847/3321, numerators are 9135,8847
Denominators are 449,3321
The GCF of 9135,8847 is 9 .
LCM of 449,3321 is 1491129.
The greatest common factor of 9135/449,8847/3321 = [GCF of 9135,8847]/[LCM of 449,3321]= 9/1491129
Therefore, the GCF of 9135/449,8847/3321 is 9/1491129.
To find the highest common factor of 9135,8847, we have to find the factors of both numbers and list the highest common factor.
The factors of 9135 are 1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135
The factors of 8847 are 1, 3, 9, 983, 2949, 8847
The HCF of 9135,8847 is 9.
Lets's calculate GCF of 9135,8847
| 3 | 9135, 8847 |
| 3 | 3045, 2949 |
| 1015, 983 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 9135,8847 By Matching Biggest Common Factor Method
Now, list down the factors of 9135
:1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135
Now, list down the factors of 8847
:1,3,9,983,2949,8847
Greatest Common Factor
We found the factors 9135,8847 . The biggest common factor number is the GCF number.
So the greatest common factor 9135,8847 is 9.
Lets's calculate LCM of 449,3321
Given numbers has no common factors except 1. So, there LCM is their product i.e 1491129
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1491129
Therefore, the GCF of Fractions 9135/449,8847/3321 is 9/1491129
Least Common Multiple of 449,3321 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 449,3321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,3321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,3321) x common factors =1 x 1 = 1
LCM(449,3321) = ( 449 × 3321 ) / 1
LCM(449,3321) = 1491129 / 1
LCM(449,3321) = 1491129
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9135/449, 8847/3321
1. What is the HCF of 9135,8847?
The HCF of 9135,8847 is 9
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 9135/449, 8847/3321?
Answer: GCF of Numerators as per given numbers 9135/449, 8847/3321 is
GCF of Numerators i.e. for 9135,8847 is 9
LCM of denominators i.e. for 449,3321 is 1491129.
Thus, GCF of Fractions is 9/1491129.Finally, GCF of Fractions for 9135/449, 8847/3321 is 9/1491129.