GCF of 9045/116, 3660/6738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9045/116, 3660/6738 i.e 15/390804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9045/116, 3660/6738.
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 9045/116,3660/6738?
Given fractions are 9045/116,3660/6738
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 9045/116,3660/6738, numerators are 9045,3660
Denominators are 116,6738
The GCF of 9045,3660 is 15 .
LCM of 116,6738 is 390804.
The greatest common factor of 9045/116,3660/6738 = [GCF of 9045,3660]/[LCM of 116,6738]= 15/390804
Therefore, the GCF of 9045/116,3660/6738 is 15/390804.
To find the highest common factor of 9045,3660, we have to find the factors of both numbers and list the highest common factor.
The factors of 9045 are 1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015, 9045
The factors of 3660 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244, 305, 366, 610, 732, 915, 1220, 1830, 3660
The HCF of 9045,3660 is 15.
Lets's calculate GCF of 9045,3660
| 3 | 9045, 3660 |
| 5 | 3015, 1220 |
| 603, 244 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 9045,3660 By Matching Biggest Common Factor Method
Now, list down the factors of 9045
:1,3,5,9,15,27,45,67,135,201,335,603,1005,1809,3015,9045
Now, list down the factors of 3660
:1,2,3,4,5,6,10,12,15,20,30,60,61,122,183,244,305,366,610,732,915,1220,1830,3660
Greatest Common Factor
We found the factors 9045,3660 . The biggest common factor number is the GCF number.
So the greatest common factor 9045,3660 is 15.
Lets's calculate LCM of 116,6738
| 2 | 116, 6738 |
| 58, 3369 |
∴ So the LCM of the given numbers is 2 x 58 x 3369 = 390804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/390804
Therefore, the GCF of Fractions 9045/116,3660/6738 is 15/390804
Least Common Multiple of 116,6738 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 116,6738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,6738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(116,6738) x common factors =2 x 1 = 2
LCM(116,6738) = ( 116 × 6738 ) / 2
LCM(116,6738) = 781608 / 2
LCM(116,6738) = 390804
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FAQs on GCF of Fractions of 9045/116, 3660/6738
1. What is the HCF of 9045,3660?
The HCF of 9045,3660 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 9045/116, 3660/6738?
Answer: GCF of Numerators as per given numbers 9045/116, 3660/6738 is
GCF of Numerators i.e. for 9045,3660 is 15
LCM of denominators i.e. for 116,6738 is 390804.
Thus, GCF of Fractions is 15/390804.Finally, GCF of Fractions for 9045/116, 3660/6738 is 15/390804.