GCF of 4659/466, 5184/7326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4659/466, 5184/7326 i.e 3/1706958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4659/466, 5184/7326.
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 4659/466,5184/7326?
Given fractions are 4659/466,5184/7326
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 4659/466,5184/7326, numerators are 4659,5184
Denominators are 466,7326
The GCF of 4659,5184 is 3 .
LCM of 466,7326 is 1706958.
The greatest common factor of 4659/466,5184/7326 = [GCF of 4659,5184]/[LCM of 466,7326]= 3/1706958
Therefore, the GCF of 4659/466,5184/7326 is 3/1706958.
To find the highest common factor of 4659,5184, we have to find the factors of both numbers and list the highest common factor.
The factors of 4659 are 1, 3, 1553, 4659
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 4659,5184 is 3.
Lets's calculate GCF of 4659,5184
| 3 | 4659, 5184 |
| 1553, 1728 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4659,5184 By Matching Biggest Common Factor Method
Now, list down the factors of 4659
:1,3,1553,4659
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 4659,5184 . The biggest common factor number is the GCF number.
So the greatest common factor 4659,5184 is 3.
Lets's calculate LCM of 466,7326
| 2 | 466, 7326 |
| 233, 3663 |
∴ So the LCM of the given numbers is 2 x 233 x 3663 = 1706958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1706958
Therefore, the GCF of Fractions 4659/466,5184/7326 is 3/1706958
Least Common Multiple of 466,7326 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 466,7326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,7326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,7326) x common factors =2 x 1 = 2
LCM(466,7326) = ( 466 × 7326 ) / 2
LCM(466,7326) = 3413916 / 2
LCM(466,7326) = 1706958
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FAQs on GCF of Fractions of 4659/466, 5184/7326
1. What is the HCF of 4659,5184?
The HCF of 4659,5184 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 4659/466, 5184/7326?
Answer: GCF of Numerators as per given numbers 4659/466, 5184/7326 is
GCF of Numerators i.e. for 4659,5184 is 3
LCM of denominators i.e. for 466,7326 is 1706958.
Thus, GCF of Fractions is 3/1706958.Finally, GCF of Fractions for 4659/466, 5184/7326 is 3/1706958.