GCF of 4059/835, 9568/8845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4059/835, 9568/8845 i.e 1/1477115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4059/835, 9568/8845.
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 4059/835,9568/8845?
Given fractions are 4059/835,9568/8845
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 4059/835,9568/8845, numerators are 4059,9568
Denominators are 835,8845
The GCF of 4059,9568 is 1 .
LCM of 835,8845 is 1477115.
The greatest common factor of 4059/835,9568/8845 = [GCF of 4059,9568]/[LCM of 835,8845]= 1/1477115
Therefore, the GCF of 4059/835,9568/8845 is 1/1477115.
To find the highest common factor of 4059,9568, we have to find the factors of both numbers and list the highest common factor.
The factors of 4059 are 1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059
The factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568
The HCF of 4059,9568 is 1.
Lets's calculate GCF of 4059,9568
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4059,9568 By Matching Biggest Common Factor Method
Now, list down the factors of 4059
:1,3,9,11,33,41,99,123,369,451,1353,4059
Now, list down the factors of 9568
:1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568
Greatest Common Factor
We found the factors 4059,9568 . The biggest common factor number is the GCF number.
So the greatest common factor 4059,9568 is 1.
Lets's calculate LCM of 835,8845
| 5 | 835, 8845 |
| 167, 1769 |
∴ So the LCM of the given numbers is 5 x 167 x 1769 = 1477115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1477115
Therefore, the GCF of Fractions 4059/835,9568/8845 is 1/1477115
Least Common Multiple of 835,8845 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 835,8845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,8845) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(835,8845) x common factors =5 x 1 = 5
LCM(835,8845) = ( 835 × 8845 ) / 5
LCM(835,8845) = 7385575 / 5
LCM(835,8845) = 1477115
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FAQs on GCF of Fractions of 4059/835, 9568/8845
1. What is the HCF of 4059,9568?
The HCF of 4059,9568 is 1
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 4059/835, 9568/8845?
Answer: GCF of Numerators as per given numbers 4059/835, 9568/8845 is
GCF of Numerators i.e. for 4059,9568 is 1
LCM of denominators i.e. for 835,8845 is 1477115.
Thus, GCF of Fractions is 1/1477115.Finally, GCF of Fractions for 4059/835, 9568/8845 is 1/1477115.