GCF of 4959/384, 2640/1311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4959/384, 2640/1311 i.e 3/167808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4959/384, 2640/1311.
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 4959/384,2640/1311?
Given fractions are 4959/384,2640/1311
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 4959/384,2640/1311, numerators are 4959,2640
Denominators are 384,1311
The GCF of 4959,2640 is 3 .
LCM of 384,1311 is 167808.
The greatest common factor of 4959/384,2640/1311 = [GCF of 4959,2640]/[LCM of 384,1311]= 3/167808
Therefore, the GCF of 4959/384,2640/1311 is 3/167808.
To find the highest common factor of 4959,2640, we have to find the factors of both numbers and list the highest common factor.
The factors of 4959 are 1, 3, 9, 19, 29, 57, 87, 171, 261, 551, 1653, 4959
The factors of 2640 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640
The HCF of 4959,2640 is 3.
Lets's calculate GCF of 4959,2640
| 3 | 4959, 2640 |
| 1653, 880 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4959,2640 By Matching Biggest Common Factor Method
Now, list down the factors of 4959
:1,3,9,19,29,57,87,171,261,551,1653,4959
Now, list down the factors of 2640
:1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640
Greatest Common Factor
We found the factors 4959,2640 . The biggest common factor number is the GCF number.
So the greatest common factor 4959,2640 is 3.
Lets's calculate LCM of 384,1311
| 3 | 384, 1311 |
| 128, 437 |
∴ So the LCM of the given numbers is 3 x 128 x 437 = 167808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/167808
Therefore, the GCF of Fractions 4959/384,2640/1311 is 3/167808
Least Common Multiple of 384,1311 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 384,1311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,1311) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(384,1311) x common factors =3 x 1 = 3
LCM(384,1311) = ( 384 × 1311 ) / 3
LCM(384,1311) = 503424 / 3
LCM(384,1311) = 167808
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FAQs on GCF of Fractions of 4959/384, 2640/1311
1. What is the HCF of 4959,2640?
The HCF of 4959,2640 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 4959/384, 2640/1311?
Answer: GCF of Numerators as per given numbers 4959/384, 2640/1311 is
GCF of Numerators i.e. for 4959,2640 is 3
LCM of denominators i.e. for 384,1311 is 167808.
Thus, GCF of Fractions is 3/167808.Finally, GCF of Fractions for 4959/384, 2640/1311 is 3/167808.