GCF of 5832/486, 6284/2288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5832/486, 6284/2288 i.e 4/555984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5832/486, 6284/2288.
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 5832/486,6284/2288?
Given fractions are 5832/486,6284/2288
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 5832/486,6284/2288, numerators are 5832,6284
Denominators are 486,2288
The GCF of 5832,6284 is 4 .
LCM of 486,2288 is 555984.
The greatest common factor of 5832/486,6284/2288 = [GCF of 5832,6284]/[LCM of 486,2288]= 4/555984
Therefore, the GCF of 5832/486,6284/2288 is 4/555984.
To find the highest common factor of 5832,6284, we have to find the factors of both numbers and list the highest common factor.
The factors of 5832 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2916, 5832
The factors of 6284 are 1, 2, 4, 1571, 3142, 6284
The HCF of 5832,6284 is 4.
Lets's calculate GCF of 5832,6284
| 2 | 5832, 6284 |
| 2 | 2916, 3142 |
| 1458, 1571 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5832,6284 By Matching Biggest Common Factor Method
Now, list down the factors of 5832
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,729,972,1458,1944,2916,5832
Now, list down the factors of 6284
:1,2,4,1571,3142,6284
Greatest Common Factor
We found the factors 5832,6284 . The biggest common factor number is the GCF number.
So the greatest common factor 5832,6284 is 4.
Lets's calculate LCM of 486,2288
| 2 | 486, 2288 |
| 243, 1144 |
∴ So the LCM of the given numbers is 2 x 243 x 1144 = 555984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/555984
Therefore, the GCF of Fractions 5832/486,6284/2288 is 4/555984
Least Common Multiple of 486,2288 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 486,2288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,2288) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(486,2288) x common factors =2 x 1 = 2
LCM(486,2288) = ( 486 × 2288 ) / 2
LCM(486,2288) = 1111968 / 2
LCM(486,2288) = 555984
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FAQs on GCF of Fractions of 5832/486, 6284/2288
1. What is the HCF of 5832,6284?
The HCF of 5832,6284 is 4
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 5832/486, 6284/2288?
Answer: GCF of Numerators as per given numbers 5832/486, 6284/2288 is
GCF of Numerators i.e. for 5832,6284 is 4
LCM of denominators i.e. for 486,2288 is 555984.
Thus, GCF of Fractions is 4/555984.Finally, GCF of Fractions for 5832/486, 6284/2288 is 4/555984.