GCF of 9803/184, 9909/736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9803/184, 9909/736 i.e 1/736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9803/184, 9909/736.
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 9803/184,9909/736?
Given fractions are 9803/184,9909/736
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 9803/184,9909/736, numerators are 9803,9909
Denominators are 184,736
The GCF of 9803,9909 is 1 .
LCM of 184,736 is 736.
The greatest common factor of 9803/184,9909/736 = [GCF of 9803,9909]/[LCM of 184,736]= 1/736
Therefore, the GCF of 9803/184,9909/736 is 1/736.
To find the highest common factor of 9803,9909, we have to find the factors of both numbers and list the highest common factor.
The factors of 9803 are 1, 9803
The factors of 9909 are 1, 3, 9, 27, 367, 1101, 3303, 9909
The HCF of 9803,9909 is 1.
Lets's calculate GCF of 9803,9909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9803,9909 By Matching Biggest Common Factor Method
Now, list down the factors of 9803
:1,9803
Now, list down the factors of 9909
:1,3,9,27,367,1101,3303,9909
Greatest Common Factor
We found the factors 9803,9909 . The biggest common factor number is the GCF number.
So the greatest common factor 9803,9909 is 1.
Lets's calculate LCM of 184,736
| 2 | 184, 736 |
| 2 | 92, 368 |
| 2 | 46, 184 |
| 23 | 23, 92 |
| 1, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 1 x 4 = 736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/736
Therefore, the GCF of Fractions 9803/184,9909/736 is 1/736
Least Common Multiple of 184,736 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 184,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,736) = 184
common factors(in case of two or more numbers have common factors) = 1
GCF(184,736) x common factors =184 x 1 = 184
LCM(184,736) = ( 184 × 736 ) / 184
LCM(184,736) = 135424 / 184
LCM(184,736) = 736
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FAQs on GCF of Fractions of 9803/184, 9909/736
1. What is the HCF of 9803,9909?
The HCF of 9803,9909 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 9803/184, 9909/736?
Answer: GCF of Numerators as per given numbers 9803/184, 9909/736 is
GCF of Numerators i.e. for 9803,9909 is 1
LCM of denominators i.e. for 184,736 is 736.
Thus, GCF of Fractions is 1/736.Finally, GCF of Fractions for 9803/184, 9909/736 is 1/736.