GCF of 9184/144, 5643/1024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9184/144, 5643/1024 i.e 1/9216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9184/144, 5643/1024.
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 9184/144,5643/1024?
Given fractions are 9184/144,5643/1024
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 9184/144,5643/1024, numerators are 9184,5643
Denominators are 144,1024
The GCF of 9184,5643 is 1 .
LCM of 144,1024 is 9216.
The greatest common factor of 9184/144,5643/1024 = [GCF of 9184,5643]/[LCM of 144,1024]= 1/9216
Therefore, the GCF of 9184/144,5643/1024 is 1/9216.
To find the highest common factor of 9184,5643, we have to find the factors of both numbers and list the highest common factor.
The factors of 9184 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 82, 112, 164, 224, 287, 328, 574, 656, 1148, 1312, 2296, 4592, 9184
The factors of 5643 are 1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643
The HCF of 9184,5643 is 1.
Lets's calculate GCF of 9184,5643
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9184,5643 By Matching Biggest Common Factor Method
Now, list down the factors of 9184
:1,2,4,7,8,14,16,28,32,41,56,82,112,164,224,287,328,574,656,1148,1312,2296,4592,9184
Now, list down the factors of 5643
:1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643
Greatest Common Factor
We found the factors 9184,5643 . The biggest common factor number is the GCF number.
So the greatest common factor 9184,5643 is 1.
Lets's calculate LCM of 144,1024
| 2 | 144, 1024 |
| 2 | 72, 512 |
| 2 | 36, 256 |
| 2 | 18, 128 |
| 9, 64 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 9 x 64 = 9216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9216
Therefore, the GCF of Fractions 9184/144,5643/1024 is 1/9216
Least Common Multiple of 144,1024 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 144,1024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,1024) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(144,1024) x common factors =16 x 1 = 16
LCM(144,1024) = ( 144 × 1024 ) / 16
LCM(144,1024) = 147456 / 16
LCM(144,1024) = 9216
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FAQs on GCF of Fractions of 9184/144, 5643/1024
1. What is the HCF of 9184,5643?
The HCF of 9184,5643 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 9184/144, 5643/1024?
Answer: GCF of Numerators as per given numbers 9184/144, 5643/1024 is
GCF of Numerators i.e. for 9184,5643 is 1
LCM of denominators i.e. for 144,1024 is 9216.
Thus, GCF of Fractions is 1/9216.Finally, GCF of Fractions for 9184/144, 5643/1024 is 1/9216.