GCF of 2489/559, 5184/998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2489/559, 5184/998 i.e 1/557882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2489/559, 5184/998.
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 2489/559,5184/998?
Given fractions are 2489/559,5184/998
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 2489/559,5184/998, numerators are 2489,5184
Denominators are 559,998
The GCF of 2489,5184 is 1 .
LCM of 559,998 is 557882.
The greatest common factor of 2489/559,5184/998 = [GCF of 2489,5184]/[LCM of 559,998]= 1/557882
Therefore, the GCF of 2489/559,5184/998 is 1/557882.
To find the highest common factor of 2489,5184, we have to find the factors of both numbers and list the highest common factor.
The factors of 2489 are 1, 19, 131, 2489
The factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184
The HCF of 2489,5184 is 1.
Lets's calculate GCF of 2489,5184
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2489,5184 By Matching Biggest Common Factor Method
Now, list down the factors of 2489
:1,19,131,2489
Now, list down the factors of 5184
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,81,96,108,144,162,192,216,288,324,432,576,648,864,1296,1728,2592,5184
Greatest Common Factor
We found the factors 2489,5184 . The biggest common factor number is the GCF number.
So the greatest common factor 2489,5184 is 1.
Lets's calculate LCM of 559,998
Given numbers has no common factors except 1. So, there LCM is their product i.e 557882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/557882
Therefore, the GCF of Fractions 2489/559,5184/998 is 1/557882
Least Common Multiple of 559,998 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 559,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,998) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,998) x common factors =1 x 1 = 1
LCM(559,998) = ( 559 × 998 ) / 1
LCM(559,998) = 557882 / 1
LCM(559,998) = 557882
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FAQs on GCF of Fractions of 2489/559, 5184/998
1. What is the HCF of 2489,5184?
The HCF of 2489,5184 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 2489/559, 5184/998?
Answer: GCF of Numerators as per given numbers 2489/559, 5184/998 is
GCF of Numerators i.e. for 2489,5184 is 1
LCM of denominators i.e. for 559,998 is 557882.
Thus, GCF of Fractions is 1/557882.Finally, GCF of Fractions for 2489/559, 5184/998 is 1/557882.