GCF of 4881/914, 8640/2833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4881/914, 8640/2833 i.e 3/2589362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4881/914, 8640/2833.
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 4881/914,8640/2833?
Given fractions are 4881/914,8640/2833
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 4881/914,8640/2833, numerators are 4881,8640
Denominators are 914,2833
The GCF of 4881,8640 is 3 .
LCM of 914,2833 is 2589362.
The greatest common factor of 4881/914,8640/2833 = [GCF of 4881,8640]/[LCM of 914,2833]= 3/2589362
Therefore, the GCF of 4881/914,8640/2833 is 3/2589362.
To find the highest common factor of 4881,8640, we have to find the factors of both numbers and list the highest common factor.
The factors of 4881 are 1, 3, 1627, 4881
The factors of 8640 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 192, 216, 240, 270, 288, 320, 360, 432, 480, 540, 576, 720, 864, 960, 1080, 1440, 1728, 2160, 2880, 4320, 8640
The HCF of 4881,8640 is 3.
Lets's calculate GCF of 4881,8640
| 3 | 4881, 8640 |
| 1627, 2880 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4881,8640 By Matching Biggest Common Factor Method
Now, list down the factors of 4881
:1,3,1627,4881
Now, list down the factors of 8640
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,64,72,80,90,96,108,120,135,144,160,180,192,216,240,270,288,320,360,432,480,540,576,720,864,960,1080,1440,1728,2160,2880,4320,8640
Greatest Common Factor
We found the factors 4881,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 4881,8640 is 3.
Lets's calculate LCM of 914,2833
Given numbers has no common factors except 1. So, there LCM is their product i.e 2589362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2589362
Therefore, the GCF of Fractions 4881/914,8640/2833 is 3/2589362
Least Common Multiple of 914,2833 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 914,2833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,2833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,2833) x common factors =1 x 1 = 1
LCM(914,2833) = ( 914 × 2833 ) / 1
LCM(914,2833) = 2589362 / 1
LCM(914,2833) = 2589362
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4881/914, 8640/2833
1. What is the HCF of 4881,8640?
The HCF of 4881,8640 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 4881/914, 8640/2833?
Answer: GCF of Numerators as per given numbers 4881/914, 8640/2833 is
GCF of Numerators i.e. for 4881,8640 is 3
LCM of denominators i.e. for 914,2833 is 2589362.
Thus, GCF of Fractions is 3/2589362.Finally, GCF of Fractions for 4881/914, 8640/2833 is 3/2589362.