GCF of 9549/869, 9135/2455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9549/869, 9135/2455 i.e 9/2133395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9549/869, 9135/2455.
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 9549/869,9135/2455?
Given fractions are 9549/869,9135/2455
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 9549/869,9135/2455, numerators are 9549,9135
Denominators are 869,2455
The GCF of 9549,9135 is 9 .
LCM of 869,2455 is 2133395.
The greatest common factor of 9549/869,9135/2455 = [GCF of 9549,9135]/[LCM of 869,2455]= 9/2133395
Therefore, the GCF of 9549/869,9135/2455 is 9/2133395.
To find the highest common factor of 9549,9135, we have to find the factors of both numbers and list the highest common factor.
The factors of 9549 are 1, 3, 9, 1061, 3183, 9549
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 HCF of 9549,9135 is 9.
Lets's calculate GCF of 9549,9135
| 3 | 9549, 9135 |
| 3 | 3183, 3045 |
| 1061, 1015 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 9549,9135 By Matching Biggest Common Factor Method
Now, list down the factors of 9549
:1,3,9,1061,3183,9549
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
Greatest Common Factor
We found the factors 9549,9135 . The biggest common factor number is the GCF number.
So the greatest common factor 9549,9135 is 9.
Lets's calculate LCM of 869,2455
Given numbers has no common factors except 1. So, there LCM is their product i.e 2133395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2133395
Therefore, the GCF of Fractions 9549/869,9135/2455 is 9/2133395
Least Common Multiple of 869,2455 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 869,2455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,2455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,2455) x common factors =1 x 1 = 1
LCM(869,2455) = ( 869 × 2455 ) / 1
LCM(869,2455) = 2133395 / 1
LCM(869,2455) = 2133395
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FAQs on GCF of Fractions of 9549/869, 9135/2455
1. What is the HCF of 9549,9135?
The HCF of 9549,9135 is 9
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 9549/869, 9135/2455?
Answer: GCF of Numerators as per given numbers 9549/869, 9135/2455 is
GCF of Numerators i.e. for 9549,9135 is 9
LCM of denominators i.e. for 869,2455 is 2133395.
Thus, GCF of Fractions is 9/2133395.Finally, GCF of Fractions for 9549/869, 9135/2455 is 9/2133395.