GCF of 5466/264, 4144/576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5466/264, 4144/576 i.e 2/6336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5466/264, 4144/576.
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 5466/264,4144/576?
Given fractions are 5466/264,4144/576
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 5466/264,4144/576, numerators are 5466,4144
Denominators are 264,576
The GCF of 5466,4144 is 2 .
LCM of 264,576 is 6336.
The greatest common factor of 5466/264,4144/576 = [GCF of 5466,4144]/[LCM of 264,576]= 2/6336
Therefore, the GCF of 5466/264,4144/576 is 2/6336.
To find the highest common factor of 5466,4144, we have to find the factors of both numbers and list the highest common factor.
The factors of 5466 are 1, 2, 3, 6, 911, 1822, 2733, 5466
The factors of 4144 are 1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144
The HCF of 5466,4144 is 2.
Lets's calculate GCF of 5466,4144
| 2 | 5466, 4144 |
| 2733, 2072 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5466,4144 By Matching Biggest Common Factor Method
Now, list down the factors of 5466
:1,2,3,6,911,1822,2733,5466
Now, list down the factors of 4144
:1,2,4,7,8,14,16,28,37,56,74,112,148,259,296,518,592,1036,2072,4144
Greatest Common Factor
We found the factors 5466,4144 . The biggest common factor number is the GCF number.
So the greatest common factor 5466,4144 is 2.
Lets's calculate LCM of 264,576
| 2 | 264, 576 |
| 2 | 132, 288 |
| 2 | 66, 144 |
| 3 | 33, 72 |
| 11, 24 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 24 = 6336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6336
Therefore, the GCF of Fractions 5466/264,4144/576 is 2/6336
Least Common Multiple of 264,576 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 264,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,576) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(264,576) x common factors =24 x 1 = 24
LCM(264,576) = ( 264 × 576 ) / 24
LCM(264,576) = 152064 / 24
LCM(264,576) = 6336
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FAQs on GCF of Fractions of 5466/264, 4144/576
1. What is the HCF of 5466,4144?
The HCF of 5466,4144 is 2
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 5466/264, 4144/576?
Answer: GCF of Numerators as per given numbers 5466/264, 4144/576 is
GCF of Numerators i.e. for 5466,4144 is 2
LCM of denominators i.e. for 264,576 is 6336.
Thus, GCF of Fractions is 2/6336.Finally, GCF of Fractions for 5466/264, 4144/576 is 2/6336.