GCF of 4983/682, 1980/3328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4983/682, 1980/3328 i.e 33/1134848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4983/682, 1980/3328.
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 4983/682,1980/3328?
Given fractions are 4983/682,1980/3328
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 4983/682,1980/3328, numerators are 4983,1980
Denominators are 682,3328
The GCF of 4983,1980 is 33 .
LCM of 682,3328 is 1134848.
The greatest common factor of 4983/682,1980/3328 = [GCF of 4983,1980]/[LCM of 682,3328]= 33/1134848
Therefore, the GCF of 4983/682,1980/3328 is 33/1134848.
To find the highest common factor of 4983,1980, we have to find the factors of both numbers and list the highest common factor.
The factors of 4983 are 1, 3, 11, 33, 151, 453, 1661, 4983
The factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980
The HCF of 4983,1980 is 33.
Lets's calculate GCF of 4983,1980
| 3 | 4983, 1980 |
| 11 | 1661, 660 |
| 151, 60 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 4983,1980 By Matching Biggest Common Factor Method
Now, list down the factors of 4983
:1,3,11,33,151,453,1661,4983
Now, list down the factors of 1980
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,30,33,36,44,45,55,60,66,90,99,110,132,165,180,198,220,330,396,495,660,990,1980
Greatest Common Factor
We found the factors 4983,1980 . The biggest common factor number is the GCF number.
So the greatest common factor 4983,1980 is 33.
Lets's calculate LCM of 682,3328
| 2 | 682, 3328 |
| 341, 1664 |
∴ So the LCM of the given numbers is 2 x 341 x 1664 = 1134848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/1134848
Therefore, the GCF of Fractions 4983/682,1980/3328 is 33/1134848
Least Common Multiple of 682,3328 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 682,3328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,3328) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,3328) x common factors =2 x 1 = 2
LCM(682,3328) = ( 682 × 3328 ) / 2
LCM(682,3328) = 2269696 / 2
LCM(682,3328) = 1134848
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FAQs on GCF of Fractions of 4983/682, 1980/3328
1. What is the HCF of 4983,1980?
The HCF of 4983,1980 is 33
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 4983/682, 1980/3328?
Answer: GCF of Numerators as per given numbers 4983/682, 1980/3328 is
GCF of Numerators i.e. for 4983,1980 is 33
LCM of denominators i.e. for 682,3328 is 1134848.
Thus, GCF of Fractions is 33/1134848.Finally, GCF of Fractions for 4983/682, 1980/3328 is 33/1134848.