GCF of 9609/806, 8256/5798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9609/806, 8256/5798 i.e 3/179738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9609/806, 8256/5798.
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 9609/806,8256/5798?
Given fractions are 9609/806,8256/5798
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 9609/806,8256/5798, numerators are 9609,8256
Denominators are 806,5798
The GCF of 9609,8256 is 3 .
LCM of 806,5798 is 179738.
The greatest common factor of 9609/806,8256/5798 = [GCF of 9609,8256]/[LCM of 806,5798]= 3/179738
Therefore, the GCF of 9609/806,8256/5798 is 3/179738.
To find the highest common factor of 9609,8256, we have to find the factors of both numbers and list the highest common factor.
The factors of 9609 are 1, 3, 3203, 9609
The factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256
The HCF of 9609,8256 is 3.
Lets's calculate GCF of 9609,8256
| 3 | 9609, 8256 |
| 3203, 2752 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9609,8256 By Matching Biggest Common Factor Method
Now, list down the factors of 9609
:1,3,3203,9609
Now, list down the factors of 8256
:1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256
Greatest Common Factor
We found the factors 9609,8256 . The biggest common factor number is the GCF number.
So the greatest common factor 9609,8256 is 3.
Lets's calculate LCM of 806,5798
| 2 | 806, 5798 |
| 13 | 403, 2899 |
| 31, 223 |
∴ So the LCM of the given numbers is 2 x 13 x 31 x 223 = 179738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/179738
Therefore, the GCF of Fractions 9609/806,8256/5798 is 3/179738
Least Common Multiple of 806,5798 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 806,5798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,5798) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(806,5798) x common factors =26 x 1 = 26
LCM(806,5798) = ( 806 × 5798 ) / 26
LCM(806,5798) = 4673188 / 26
LCM(806,5798) = 179738
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FAQs on GCF of Fractions of 9609/806, 8256/5798
1. What is the HCF of 9609,8256?
The HCF of 9609,8256 is 3
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 9609/806, 8256/5798?
Answer: GCF of Numerators as per given numbers 9609/806, 8256/5798 is
GCF of Numerators i.e. for 9609,8256 is 3
LCM of denominators i.e. for 806,5798 is 179738.
Thus, GCF of Fractions is 3/179738.Finally, GCF of Fractions for 9609/806, 8256/5798 is 3/179738.