GCF of 8547/479, 9489/766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8547/479, 9489/766 i.e 3/366914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8547/479, 9489/766.
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 8547/479,9489/766?
Given fractions are 8547/479,9489/766
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 8547/479,9489/766, numerators are 8547,9489
Denominators are 479,766
The GCF of 8547,9489 is 3 .
LCM of 479,766 is 366914.
The greatest common factor of 8547/479,9489/766 = [GCF of 8547,9489]/[LCM of 479,766]= 3/366914
Therefore, the GCF of 8547/479,9489/766 is 3/366914.
To find the highest common factor of 8547,9489, we have to find the factors of both numbers and list the highest common factor.
The factors of 8547 are 1, 3, 7, 11, 21, 33, 37, 77, 111, 231, 259, 407, 777, 1221, 2849, 8547
The factors of 9489 are 1, 3, 3163, 9489
The HCF of 8547,9489 is 3.
Lets's calculate GCF of 8547,9489
| 3 | 8547, 9489 |
| 2849, 3163 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8547,9489 By Matching Biggest Common Factor Method
Now, list down the factors of 8547
:1,3,7,11,21,33,37,77,111,231,259,407,777,1221,2849,8547
Now, list down the factors of 9489
:1,3,3163,9489
Greatest Common Factor
We found the factors 8547,9489 . The biggest common factor number is the GCF number.
So the greatest common factor 8547,9489 is 3.
Lets's calculate LCM of 479,766
Given numbers has no common factors except 1. So, there LCM is their product i.e 366914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/366914
Therefore, the GCF of Fractions 8547/479,9489/766 is 3/366914
Least Common Multiple of 479,766 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 479,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,766) x common factors =1 x 1 = 1
LCM(479,766) = ( 479 × 766 ) / 1
LCM(479,766) = 366914 / 1
LCM(479,766) = 366914
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FAQs on GCF of Fractions of 8547/479, 9489/766
1. What is the HCF of 8547,9489?
The HCF of 8547,9489 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 8547/479, 9489/766?
Answer: GCF of Numerators as per given numbers 8547/479, 9489/766 is
GCF of Numerators i.e. for 8547,9489 is 3
LCM of denominators i.e. for 479,766 is 366914.
Thus, GCF of Fractions is 3/366914.Finally, GCF of Fractions for 8547/479, 9489/766 is 3/366914.