GCF of 5982/486, 1839/514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5982/486, 1839/514 i.e 3/124902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5982/486, 1839/514.
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 5982/486,1839/514?
Given fractions are 5982/486,1839/514
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 5982/486,1839/514, numerators are 5982,1839
Denominators are 486,514
The GCF of 5982,1839 is 3 .
LCM of 486,514 is 124902.
The greatest common factor of 5982/486,1839/514 = [GCF of 5982,1839]/[LCM of 486,514]= 3/124902
Therefore, the GCF of 5982/486,1839/514 is 3/124902.
To find the highest common factor of 5982,1839, we have to find the factors of both numbers and list the highest common factor.
The factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982
The factors of 1839 are 1, 3, 613, 1839
The HCF of 5982,1839 is 3.
Lets's calculate GCF of 5982,1839
| 3 | 5982, 1839 |
| 1994, 613 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5982,1839 By Matching Biggest Common Factor Method
Now, list down the factors of 5982
:1,2,3,6,997,1994,2991,5982
Now, list down the factors of 1839
:1,3,613,1839
Greatest Common Factor
We found the factors 5982,1839 . The biggest common factor number is the GCF number.
So the greatest common factor 5982,1839 is 3.
Lets's calculate LCM of 486,514
| 2 | 486, 514 |
| 243, 257 |
∴ So the LCM of the given numbers is 2 x 243 x 257 = 124902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/124902
Therefore, the GCF of Fractions 5982/486,1839/514 is 3/124902
Least Common Multiple of 486,514 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 486,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(486,514) x common factors =2 x 1 = 2
LCM(486,514) = ( 486 × 514 ) / 2
LCM(486,514) = 249804 / 2
LCM(486,514) = 124902
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FAQs on GCF of Fractions of 5982/486, 1839/514
1. What is the HCF of 5982,1839?
The HCF of 5982,1839 is 3
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 5982/486, 1839/514?
Answer: GCF of Numerators as per given numbers 5982/486, 1839/514 is
GCF of Numerators i.e. for 5982,1839 is 3
LCM of denominators i.e. for 486,514 is 124902.
Thus, GCF of Fractions is 3/124902.Finally, GCF of Fractions for 5982/486, 1839/514 is 3/124902.