GCF of 6045/128, 5824/789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6045/128, 5824/789 i.e 13/100992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6045/128, 5824/789.
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 6045/128,5824/789?
Given fractions are 6045/128,5824/789
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 6045/128,5824/789, numerators are 6045,5824
Denominators are 128,789
The GCF of 6045,5824 is 13 .
LCM of 128,789 is 100992.
The greatest common factor of 6045/128,5824/789 = [GCF of 6045,5824]/[LCM of 128,789]= 13/100992
Therefore, the GCF of 6045/128,5824/789 is 13/100992.
To find the highest common factor of 6045,5824, we have to find the factors of both numbers and list the highest common factor.
The factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045
The factors of 5824 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 182, 208, 224, 364, 416, 448, 728, 832, 1456, 2912, 5824
The HCF of 6045,5824 is 13.
Lets's calculate GCF of 6045,5824
| 13 | 6045, 5824 |
| 465, 448 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6045,5824 By Matching Biggest Common Factor Method
Now, list down the factors of 6045
:1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045
Now, list down the factors of 5824
:1,2,4,7,8,13,14,16,26,28,32,52,56,64,91,104,112,182,208,224,364,416,448,728,832,1456,2912,5824
Greatest Common Factor
We found the factors 6045,5824 . The biggest common factor number is the GCF number.
So the greatest common factor 6045,5824 is 13.
Lets's calculate LCM of 128,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 100992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/100992
Therefore, the GCF of Fractions 6045/128,5824/789 is 13/100992
Least Common Multiple of 128,789 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 128,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,789) x common factors =1 x 1 = 1
LCM(128,789) = ( 128 × 789 ) / 1
LCM(128,789) = 100992 / 1
LCM(128,789) = 100992
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FAQs on GCF of Fractions of 6045/128, 5824/789
1. What is the HCF of 6045,5824?
The HCF of 6045,5824 is 13
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 6045/128, 5824/789?
Answer: GCF of Numerators as per given numbers 6045/128, 5824/789 is
GCF of Numerators i.e. for 6045,5824 is 13
LCM of denominators i.e. for 128,789 is 100992.
Thus, GCF of Fractions is 13/100992.Finally, GCF of Fractions for 6045/128, 5824/789 is 13/100992.