GCF of 9135/176, 8589/3922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9135/176, 8589/3922 i.e 21/345136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9135/176, 8589/3922.
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 9135/176,8589/3922?
Given fractions are 9135/176,8589/3922
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 9135/176,8589/3922, numerators are 9135,8589
Denominators are 176,3922
The GCF of 9135,8589 is 21 .
LCM of 176,3922 is 345136.
The greatest common factor of 9135/176,8589/3922 = [GCF of 9135,8589]/[LCM of 176,3922]= 21/345136
Therefore, the GCF of 9135/176,8589/3922 is 21/345136.
To find the highest common factor of 9135,8589, we have to find the factors of both numbers and list the highest common factor.
The factors of 9135 are 1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135
The factors of 8589 are 1, 3, 7, 21, 409, 1227, 2863, 8589
The HCF of 9135,8589 is 21.
Lets's calculate GCF of 9135,8589
| 3 | 9135, 8589 |
| 7 | 3045, 2863 |
| 435, 409 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 9135,8589 By Matching Biggest Common Factor Method
Now, list down the factors of 9135
:1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135
Now, list down the factors of 8589
:1,3,7,21,409,1227,2863,8589
Greatest Common Factor
We found the factors 9135,8589 . The biggest common factor number is the GCF number.
So the greatest common factor 9135,8589 is 21.
Lets's calculate LCM of 176,3922
| 2 | 176, 3922 |
| 88, 1961 |
∴ So the LCM of the given numbers is 2 x 88 x 1961 = 345136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/345136
Therefore, the GCF of Fractions 9135/176,8589/3922 is 21/345136
Least Common Multiple of 176,3922 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 176,3922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,3922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(176,3922) x common factors =2 x 1 = 2
LCM(176,3922) = ( 176 × 3922 ) / 2
LCM(176,3922) = 690272 / 2
LCM(176,3922) = 345136
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FAQs on GCF of Fractions of 9135/176, 8589/3922
1. What is the HCF of 9135,8589?
The HCF of 9135,8589 is 21
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 9135/176, 8589/3922?
Answer: GCF of Numerators as per given numbers 9135/176, 8589/3922 is
GCF of Numerators i.e. for 9135,8589 is 21
LCM of denominators i.e. for 176,3922 is 345136.
Thus, GCF of Fractions is 21/345136.Finally, GCF of Fractions for 9135/176, 8589/3922 is 21/345136.