GCF of 3960/576, 2880/4161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3960/576, 2880/4161 i.e 360/798912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3960/576, 2880/4161.
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 3960/576,2880/4161?
Given fractions are 3960/576,2880/4161
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 3960/576,2880/4161, numerators are 3960,2880
Denominators are 576,4161
The GCF of 3960,2880 is 360 .
LCM of 576,4161 is 798912.
The greatest common factor of 3960/576,2880/4161 = [GCF of 3960,2880]/[LCM of 576,4161]= 360/798912
Therefore, the GCF of 3960/576,2880/4161 is 360/798912.
To find the highest common factor of 3960,2880, we have to find the factors of both numbers and list the highest common factor.
The factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960
The factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880
The HCF of 3960,2880 is 360.
Lets's calculate GCF of 3960,2880
| 2 | 3960, 2880 |
| 2 | 1980, 1440 |
| 2 | 990, 720 |
| 3 | 495, 360 |
| 3 | 165, 120 |
| 5 | 55, 40 |
| 11, 8 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 = 360
Greatest Common Factor of 3960,2880 By Matching Biggest Common Factor Method
Now, list down the factors of 3960
:1,2,3,4,5,6,8,9,10,11,12,15,18,20,22,24,30,33,36,40,44,45,55,60,66,72,88,90,99,110,120,132,165,180,198,220,264,330,360,396,440,495,660,792,990,1320,1980,3960
Now, list down the factors of 2880
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,144,160,180,192,240,288,320,360,480,576,720,960,1440,2880
Greatest Common Factor
We found the factors 3960,2880 . The biggest common factor number is the GCF number.
So the greatest common factor 3960,2880 is 360.
Lets's calculate LCM of 576,4161
| 3 | 576, 4161 |
| 192, 1387 |
∴ So the LCM of the given numbers is 3 x 192 x 1387 = 798912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 360/798912
Therefore, the GCF of Fractions 3960/576,2880/4161 is 360/798912
Least Common Multiple of 576,4161 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 576,4161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,4161) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(576,4161) x common factors =3 x 1 = 3
LCM(576,4161) = ( 576 × 4161 ) / 3
LCM(576,4161) = 2396736 / 3
LCM(576,4161) = 798912
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FAQs on GCF of Fractions of 3960/576, 2880/4161
1. What is the HCF of 3960,2880?
The HCF of 3960,2880 is 360
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 3960/576, 2880/4161?
Answer: GCF of Numerators as per given numbers 3960/576, 2880/4161 is
GCF of Numerators i.e. for 3960,2880 is 360
LCM of denominators i.e. for 576,4161 is 798912.
Thus, GCF of Fractions is 360/798912.Finally, GCF of Fractions for 3960/576, 2880/4161 is 360/798912.