GCF of 4059/523, 9792/6797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4059/523, 9792/6797 i.e 9/3554831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4059/523, 9792/6797.
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 4059/523,9792/6797?
Given fractions are 4059/523,9792/6797
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 4059/523,9792/6797, numerators are 4059,9792
Denominators are 523,6797
The GCF of 4059,9792 is 9 .
LCM of 523,6797 is 3554831.
The greatest common factor of 4059/523,9792/6797 = [GCF of 4059,9792]/[LCM of 523,6797]= 9/3554831
Therefore, the GCF of 4059/523,9792/6797 is 9/3554831.
To find the highest common factor of 4059,9792, 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 9792 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896, 9792
The HCF of 4059,9792 is 9.
Lets's calculate GCF of 4059,9792
| 3 | 4059, 9792 |
| 3 | 1353, 3264 |
| 451, 1088 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4059,9792 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 9792
:1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792
Greatest Common Factor
We found the factors 4059,9792 . The biggest common factor number is the GCF number.
So the greatest common factor 4059,9792 is 9.
Lets's calculate LCM of 523,6797
Given numbers has no common factors except 1. So, there LCM is their product i.e 3554831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3554831
Therefore, the GCF of Fractions 4059/523,9792/6797 is 9/3554831
Least Common Multiple of 523,6797 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 523,6797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,6797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,6797) x common factors =1 x 1 = 1
LCM(523,6797) = ( 523 × 6797 ) / 1
LCM(523,6797) = 3554831 / 1
LCM(523,6797) = 3554831
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FAQs on GCF of Fractions of 4059/523, 9792/6797
1. What is the HCF of 4059,9792?
The HCF of 4059,9792 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 4059/523, 9792/6797?
Answer: GCF of Numerators as per given numbers 4059/523, 9792/6797 is
GCF of Numerators i.e. for 4059,9792 is 9
LCM of denominators i.e. for 523,6797 is 3554831.
Thus, GCF of Fractions is 9/3554831.Finally, GCF of Fractions for 4059/523, 9792/6797 is 9/3554831.