GCF of 8589/855, 4509/1080
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8589/855, 4509/1080 i.e 3/20520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8589/855, 4509/1080.
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 8589/855,4509/1080?
Given fractions are 8589/855,4509/1080
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 8589/855,4509/1080, numerators are 8589,4509
Denominators are 855,1080
The GCF of 8589,4509 is 3 .
LCM of 855,1080 is 20520.
The greatest common factor of 8589/855,4509/1080 = [GCF of 8589,4509]/[LCM of 855,1080]= 3/20520
Therefore, the GCF of 8589/855,4509/1080 is 3/20520.
To find the highest common factor of 8589,4509, we have to find the factors of both numbers and list the highest common factor.
The factors of 8589 are 1, 3, 7, 21, 409, 1227, 2863, 8589
The factors of 4509 are 1, 3, 9, 27, 167, 501, 1503, 4509
The HCF of 8589,4509 is 3.
Lets's calculate GCF of 8589,4509
| 3 | 8589, 4509 |
| 2863, 1503 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8589,4509 By Matching Biggest Common Factor Method
Now, list down the factors of 8589
:1,3,7,21,409,1227,2863,8589
Now, list down the factors of 4509
:1,3,9,27,167,501,1503,4509
Greatest Common Factor
We found the factors 8589,4509 . The biggest common factor number is the GCF number.
So the greatest common factor 8589,4509 is 3.
Lets's calculate LCM of 855,1080
| 3 | 855, 1080 |
| 3 | 285, 360 |
| 5 | 95, 120 |
| 19, 24 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 19 x 24 = 20520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20520
Therefore, the GCF of Fractions 8589/855,4509/1080 is 3/20520
Least Common Multiple of 855,1080 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 855,1080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,1080) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(855,1080) x common factors =45 x 1 = 45
LCM(855,1080) = ( 855 × 1080 ) / 45
LCM(855,1080) = 923400 / 45
LCM(855,1080) = 20520
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FAQs on GCF of Fractions of 8589/855, 4509/1080
1. What is the HCF of 8589,4509?
The HCF of 8589,4509 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 8589/855, 4509/1080?
Answer: GCF of Numerators as per given numbers 8589/855, 4509/1080 is
GCF of Numerators i.e. for 8589,4509 is 3
LCM of denominators i.e. for 855,1080 is 20520.
Thus, GCF of Fractions is 3/20520.Finally, GCF of Fractions for 8589/855, 4509/1080 is 3/20520.