GCF of 5124/588, 8287/1844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5124/588, 8287/1844 i.e 1/271068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5124/588, 8287/1844.
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 5124/588,8287/1844?
Given fractions are 5124/588,8287/1844
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 5124/588,8287/1844, numerators are 5124,8287
Denominators are 588,1844
The GCF of 5124,8287 is 1 .
LCM of 588,1844 is 271068.
The greatest common factor of 5124/588,8287/1844 = [GCF of 5124,8287]/[LCM of 588,1844]= 1/271068
Therefore, the GCF of 5124/588,8287/1844 is 1/271068.
To find the highest common factor of 5124,8287, we have to find the factors of both numbers and list the highest common factor.
The factors of 5124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124
The factors of 8287 are 1, 8287
The HCF of 5124,8287 is 1.
Lets's calculate GCF of 5124,8287
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5124,8287 By Matching Biggest Common Factor Method
Now, list down the factors of 5124
:1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124
Now, list down the factors of 8287
:1,8287
Greatest Common Factor
We found the factors 5124,8287 . The biggest common factor number is the GCF number.
So the greatest common factor 5124,8287 is 1.
Lets's calculate LCM of 588,1844
| 2 | 588, 1844 |
| 2 | 294, 922 |
| 147, 461 |
∴ So the LCM of the given numbers is 2 x 2 x 147 x 461 = 271068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271068
Therefore, the GCF of Fractions 5124/588,8287/1844 is 1/271068
Least Common Multiple of 588,1844 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 588,1844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,1844) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(588,1844) x common factors =4 x 1 = 4
LCM(588,1844) = ( 588 × 1844 ) / 4
LCM(588,1844) = 1084272 / 4
LCM(588,1844) = 271068
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FAQs on GCF of Fractions of 5124/588, 8287/1844
1. What is the HCF of 5124,8287?
The HCF of 5124,8287 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 5124/588, 8287/1844?
Answer: GCF of Numerators as per given numbers 5124/588, 8287/1844 is
GCF of Numerators i.e. for 5124,8287 is 1
LCM of denominators i.e. for 588,1844 is 271068.
Thus, GCF of Fractions is 1/271068.Finally, GCF of Fractions for 5124/588, 8287/1844 is 1/271068.