GCF of 9060/486, 4241/945
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9060/486, 4241/945 i.e 1/17010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9060/486, 4241/945.
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 9060/486,4241/945?
Given fractions are 9060/486,4241/945
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 9060/486,4241/945, numerators are 9060,4241
Denominators are 486,945
The GCF of 9060,4241 is 1 .
LCM of 486,945 is 17010.
The greatest common factor of 9060/486,4241/945 = [GCF of 9060,4241]/[LCM of 486,945]= 1/17010
Therefore, the GCF of 9060/486,4241/945 is 1/17010.
To find the highest common factor of 9060,4241, we have to find the factors of both numbers and list the highest common factor.
The factors of 9060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530, 9060
The factors of 4241 are 1, 4241
The HCF of 9060,4241 is 1.
Lets's calculate GCF of 9060,4241
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9060,4241 By Matching Biggest Common Factor Method
Now, list down the factors of 9060
:1,2,3,4,5,6,10,12,15,20,30,60,151,302,453,604,755,906,1510,1812,2265,3020,4530,9060
Now, list down the factors of 4241
:1,4241
Greatest Common Factor
We found the factors 9060,4241 . The biggest common factor number is the GCF number.
So the greatest common factor 9060,4241 is 1.
Lets's calculate LCM of 486,945
| 3 | 486, 945 |
| 3 | 162, 315 |
| 3 | 54, 105 |
| 18, 35 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 18 x 35 = 17010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17010
Therefore, the GCF of Fractions 9060/486,4241/945 is 1/17010
Least Common Multiple of 486,945 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 486,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,945) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(486,945) x common factors =27 x 1 = 27
LCM(486,945) = ( 486 × 945 ) / 27
LCM(486,945) = 459270 / 27
LCM(486,945) = 17010
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9060/486, 4241/945
1. What is the HCF of 9060,4241?
The HCF of 9060,4241 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 9060/486, 4241/945?
Answer: GCF of Numerators as per given numbers 9060/486, 4241/945 is
GCF of Numerators i.e. for 9060,4241 is 1
LCM of denominators i.e. for 486,945 is 17010.
Thus, GCF of Fractions is 1/17010.Finally, GCF of Fractions for 9060/486, 4241/945 is 1/17010.