GCF of 9545/488, 5750/1904
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9545/488, 5750/1904 i.e 115/116144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9545/488, 5750/1904.
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 9545/488,5750/1904?
Given fractions are 9545/488,5750/1904
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 9545/488,5750/1904, numerators are 9545,5750
Denominators are 488,1904
The GCF of 9545,5750 is 115 .
LCM of 488,1904 is 116144.
The greatest common factor of 9545/488,5750/1904 = [GCF of 9545,5750]/[LCM of 488,1904]= 115/116144
Therefore, the GCF of 9545/488,5750/1904 is 115/116144.
To find the highest common factor of 9545,5750, we have to find the factors of both numbers and list the highest common factor.
The factors of 9545 are 1, 5, 23, 83, 115, 415, 1909, 9545
The factors of 5750 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750
The HCF of 9545,5750 is 115.
Lets's calculate GCF of 9545,5750
| 5 | 9545, 5750 |
| 23 | 1909, 1150 |
| 83, 50 |
∴ So the GCF of the given numbers is 5 x 23 = 115
Greatest Common Factor of 9545,5750 By Matching Biggest Common Factor Method
Now, list down the factors of 9545
:1,5,23,83,115,415,1909,9545
Now, list down the factors of 5750
:1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750
Greatest Common Factor
We found the factors 9545,5750 . The biggest common factor number is the GCF number.
So the greatest common factor 9545,5750 is 115.
Lets's calculate LCM of 488,1904
| 2 | 488, 1904 |
| 2 | 244, 952 |
| 2 | 122, 476 |
| 61, 238 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 238 = 116144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 115/116144
Therefore, the GCF of Fractions 9545/488,5750/1904 is 115/116144
Least Common Multiple of 488,1904 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 488,1904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,1904) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(488,1904) x common factors =8 x 1 = 8
LCM(488,1904) = ( 488 × 1904 ) / 8
LCM(488,1904) = 929152 / 8
LCM(488,1904) = 116144
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FAQs on GCF of Fractions of 9545/488, 5750/1904
1. What is the HCF of 9545,5750?
The HCF of 9545,5750 is 115
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 9545/488, 5750/1904?
Answer: GCF of Numerators as per given numbers 9545/488, 5750/1904 is
GCF of Numerators i.e. for 9545,5750 is 115
LCM of denominators i.e. for 488,1904 is 116144.
Thus, GCF of Fractions is 115/116144.Finally, GCF of Fractions for 9545/488, 5750/1904 is 115/116144.