GCF of 3456/588, 5484/4508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3456/588, 5484/4508 i.e 12/13524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3456/588, 5484/4508.
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 3456/588,5484/4508?
Given fractions are 3456/588,5484/4508
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 3456/588,5484/4508, numerators are 3456,5484
Denominators are 588,4508
The GCF of 3456,5484 is 12 .
LCM of 588,4508 is 13524.
The greatest common factor of 3456/588,5484/4508 = [GCF of 3456,5484]/[LCM of 588,4508]= 12/13524
Therefore, the GCF of 3456/588,5484/4508 is 12/13524.
To find the highest common factor of 3456,5484, we have to find the factors of both numbers and list the highest common factor.
The factors of 3456 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728, 3456
The factors of 5484 are 1, 2, 3, 4, 6, 12, 457, 914, 1371, 1828, 2742, 5484
The HCF of 3456,5484 is 12.
Lets's calculate GCF of 3456,5484
| 2 | 3456, 5484 |
| 2 | 1728, 2742 |
| 3 | 864, 1371 |
| 288, 457 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3456,5484 By Matching Biggest Common Factor Method
Now, list down the factors of 3456
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,288,384,432,576,864,1152,1728,3456
Now, list down the factors of 5484
:1,2,3,4,6,12,457,914,1371,1828,2742,5484
Greatest Common Factor
We found the factors 3456,5484 . The biggest common factor number is the GCF number.
So the greatest common factor 3456,5484 is 12.
Lets's calculate LCM of 588,4508
| 2 | 588, 4508 |
| 2 | 294, 2254 |
| 7 | 147, 1127 |
| 7 | 21, 161 |
| 3, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 3 x 23 = 13524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/13524
Therefore, the GCF of Fractions 3456/588,5484/4508 is 12/13524
Least Common Multiple of 588,4508 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 588,4508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,4508) = 196
common factors(in case of two or more numbers have common factors) = 1
GCF(588,4508) x common factors =196 x 1 = 196
LCM(588,4508) = ( 588 × 4508 ) / 196
LCM(588,4508) = 2650704 / 196
LCM(588,4508) = 13524
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3456/588, 5484/4508
1. What is the HCF of 3456,5484?
The HCF of 3456,5484 is 12
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 3456/588, 5484/4508?
Answer: GCF of Numerators as per given numbers 3456/588, 5484/4508 is
GCF of Numerators i.e. for 3456,5484 is 12
LCM of denominators i.e. for 588,4508 is 13524.
Thus, GCF of Fractions is 12/13524.Finally, GCF of Fractions for 3456/588, 5484/4508 is 12/13524.