GCF of 9546/307, 8535/506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9546/307, 8535/506 i.e 3/155342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9546/307, 8535/506.
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 9546/307,8535/506?
Given fractions are 9546/307,8535/506
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 9546/307,8535/506, numerators are 9546,8535
Denominators are 307,506
The GCF of 9546,8535 is 3 .
LCM of 307,506 is 155342.
The greatest common factor of 9546/307,8535/506 = [GCF of 9546,8535]/[LCM of 307,506]= 3/155342
Therefore, the GCF of 9546/307,8535/506 is 3/155342.
To find the highest common factor of 9546,8535, we have to find the factors of both numbers and list the highest common factor.
The factors of 9546 are 1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546
The factors of 8535 are 1, 3, 5, 15, 569, 1707, 2845, 8535
The HCF of 9546,8535 is 3.
Lets's calculate GCF of 9546,8535
| 3 | 9546, 8535 |
| 3182, 2845 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9546,8535 By Matching Biggest Common Factor Method
Now, list down the factors of 9546
:1,2,3,6,37,43,74,86,111,129,222,258,1591,3182,4773,9546
Now, list down the factors of 8535
:1,3,5,15,569,1707,2845,8535
Greatest Common Factor
We found the factors 9546,8535 . The biggest common factor number is the GCF number.
So the greatest common factor 9546,8535 is 3.
Lets's calculate LCM of 307,506
Given numbers has no common factors except 1. So, there LCM is their product i.e 155342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/155342
Therefore, the GCF of Fractions 9546/307,8535/506 is 3/155342
Least Common Multiple of 307,506 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 307,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,506) x common factors =1 x 1 = 1
LCM(307,506) = ( 307 × 506 ) / 1
LCM(307,506) = 155342 / 1
LCM(307,506) = 155342
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9546/307, 8535/506
1. What is the HCF of 9546,8535?
The HCF of 9546,8535 is 3
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 9546/307, 8535/506?
Answer: GCF of Numerators as per given numbers 9546/307, 8535/506 is
GCF of Numerators i.e. for 9546,8535 is 3
LCM of denominators i.e. for 307,506 is 155342.
Thus, GCF of Fractions is 3/155342.Finally, GCF of Fractions for 9546/307, 8535/506 is 3/155342.