GCF of 6633/796, 5940/8636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6633/796, 5940/8636 i.e 99/1718564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6633/796, 5940/8636.
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 6633/796,5940/8636?
Given fractions are 6633/796,5940/8636
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 6633/796,5940/8636, numerators are 6633,5940
Denominators are 796,8636
The GCF of 6633,5940 is 99 .
LCM of 796,8636 is 1718564.
The greatest common factor of 6633/796,5940/8636 = [GCF of 6633,5940]/[LCM of 796,8636]= 99/1718564
Therefore, the GCF of 6633/796,5940/8636 is 99/1718564.
To find the highest common factor of 6633,5940, we have to find the factors of both numbers and list the highest common factor.
The factors of 6633 are 1, 3, 9, 11, 33, 67, 99, 201, 603, 737, 2211, 6633
The factors of 5940 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970, 5940
The HCF of 6633,5940 is 99.
Lets's calculate GCF of 6633,5940
| 3 | 6633, 5940 |
| 3 | 2211, 1980 |
| 11 | 737, 660 |
| 67, 60 |
∴ So the GCF of the given numbers is 3 x 3 x 11 = 99
Greatest Common Factor of 6633,5940 By Matching Biggest Common Factor Method
Now, list down the factors of 6633
:1,3,9,11,33,67,99,201,603,737,2211,6633
Now, list down the factors of 5940
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,27,30,33,36,44,45,54,55,60,66,90,99,108,110,132,135,165,180,198,220,270,297,330,396,495,540,594,660,990,1188,1485,1980,2970,5940
Greatest Common Factor
We found the factors 6633,5940 . The biggest common factor number is the GCF number.
So the greatest common factor 6633,5940 is 99.
Lets's calculate LCM of 796,8636
| 2 | 796, 8636 |
| 2 | 398, 4318 |
| 199, 2159 |
∴ So the LCM of the given numbers is 2 x 2 x 199 x 2159 = 1718564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 99/1718564
Therefore, the GCF of Fractions 6633/796,5940/8636 is 99/1718564
Least Common Multiple of 796,8636 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 796,8636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,8636) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(796,8636) x common factors =4 x 1 = 4
LCM(796,8636) = ( 796 × 8636 ) / 4
LCM(796,8636) = 6874256 / 4
LCM(796,8636) = 1718564
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FAQs on GCF of Fractions of 6633/796, 5940/8636
1. What is the HCF of 6633,5940?
The HCF of 6633,5940 is 99
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 6633/796, 5940/8636?
Answer: GCF of Numerators as per given numbers 6633/796, 5940/8636 is
GCF of Numerators i.e. for 6633,5940 is 99
LCM of denominators i.e. for 796,8636 is 1718564.
Thus, GCF of Fractions is 99/1718564.Finally, GCF of Fractions for 6633/796, 5940/8636 is 99/1718564.