GCF of 9768/833, 5809/9991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9768/833, 5809/9991 i.e 37/8322503 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9768/833, 5809/9991.
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 9768/833,5809/9991?
Given fractions are 9768/833,5809/9991
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 9768/833,5809/9991, numerators are 9768,5809
Denominators are 833,9991
The GCF of 9768,5809 is 37 .
LCM of 833,9991 is 8322503.
The greatest common factor of 9768/833,5809/9991 = [GCF of 9768,5809]/[LCM of 833,9991]= 37/8322503
Therefore, the GCF of 9768/833,5809/9991 is 37/8322503.
To find the highest common factor of 9768,5809, we have to find the factors of both numbers and list the highest common factor.
The factors of 9768 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884, 9768
The factors of 5809 are 1, 37, 157, 5809
The HCF of 9768,5809 is 37.
Lets's calculate GCF of 9768,5809
| 37 | 9768, 5809 |
| 264, 157 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 9768,5809 By Matching Biggest Common Factor Method
Now, list down the factors of 9768
:1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768
Now, list down the factors of 5809
:1,37,157,5809
Greatest Common Factor
We found the factors 9768,5809 . The biggest common factor number is the GCF number.
So the greatest common factor 9768,5809 is 37.
Lets's calculate LCM of 833,9991
Given numbers has no common factors except 1. So, there LCM is their product i.e 8322503
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/8322503
Therefore, the GCF of Fractions 9768/833,5809/9991 is 37/8322503
Least Common Multiple of 833,9991 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 833,9991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,9991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,9991) x common factors =1 x 1 = 1
LCM(833,9991) = ( 833 × 9991 ) / 1
LCM(833,9991) = 8322503 / 1
LCM(833,9991) = 8322503
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FAQs on GCF of Fractions of 9768/833, 5809/9991
1. What is the HCF of 9768,5809?
The HCF of 9768,5809 is 37
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 9768/833, 5809/9991?
Answer: GCF of Numerators as per given numbers 9768/833, 5809/9991 is
GCF of Numerators i.e. for 9768,5809 is 37
LCM of denominators i.e. for 833,9991 is 8322503.
Thus, GCF of Fractions is 37/8322503.Finally, GCF of Fractions for 9768/833, 5809/9991 is 37/8322503.