GCF of 4433/806, 6811/1996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4433/806, 6811/1996 i.e 1/804388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4433/806, 6811/1996.
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 4433/806,6811/1996?
Given fractions are 4433/806,6811/1996
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 4433/806,6811/1996, numerators are 4433,6811
Denominators are 806,1996
The GCF of 4433,6811 is 1 .
LCM of 806,1996 is 804388.
The greatest common factor of 4433/806,6811/1996 = [GCF of 4433,6811]/[LCM of 806,1996]= 1/804388
Therefore, the GCF of 4433/806,6811/1996 is 1/804388.
To find the highest common factor of 4433,6811, we have to find the factors of both numbers and list the highest common factor.
The factors of 4433 are 1, 11, 13, 31, 143, 341, 403, 4433
The factors of 6811 are 1, 7, 49, 139, 973, 6811
The HCF of 4433,6811 is 1.
Lets's calculate GCF of 4433,6811
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4433,6811 By Matching Biggest Common Factor Method
Now, list down the factors of 4433
:1,11,13,31,143,341,403,4433
Now, list down the factors of 6811
:1,7,49,139,973,6811
Greatest Common Factor
We found the factors 4433,6811 . The biggest common factor number is the GCF number.
So the greatest common factor 4433,6811 is 1.
Lets's calculate LCM of 806,1996
| 2 | 806, 1996 |
| 403, 998 |
∴ So the LCM of the given numbers is 2 x 403 x 998 = 804388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/804388
Therefore, the GCF of Fractions 4433/806,6811/1996 is 1/804388
Least Common Multiple of 806,1996 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 806,1996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,1996) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,1996) x common factors =2 x 1 = 2
LCM(806,1996) = ( 806 × 1996 ) / 2
LCM(806,1996) = 1608776 / 2
LCM(806,1996) = 804388
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FAQs on GCF of Fractions of 4433/806, 6811/1996
1. What is the HCF of 4433,6811?
The HCF of 4433,6811 is 1
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 4433/806, 6811/1996?
Answer: GCF of Numerators as per given numbers 4433/806, 6811/1996 is
GCF of Numerators i.e. for 4433,6811 is 1
LCM of denominators i.e. for 806,1996 is 804388.
Thus, GCF of Fractions is 1/804388.Finally, GCF of Fractions for 4433/806, 6811/1996 is 1/804388.