GCF of 4741/373, 6600/8409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4741/373, 6600/8409 i.e 11/3136557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4741/373, 6600/8409.
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 4741/373,6600/8409?
Given fractions are 4741/373,6600/8409
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 4741/373,6600/8409, numerators are 4741,6600
Denominators are 373,8409
The GCF of 4741,6600 is 11 .
LCM of 373,8409 is 3136557.
The greatest common factor of 4741/373,6600/8409 = [GCF of 4741,6600]/[LCM of 373,8409]= 11/3136557
Therefore, the GCF of 4741/373,6600/8409 is 11/3136557.
To find the highest common factor of 4741,6600, we have to find the factors of both numbers and list the highest common factor.
The factors of 4741 are 1, 11, 431, 4741
The factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600
The HCF of 4741,6600 is 11.
Lets's calculate GCF of 4741,6600
| 11 | 4741, 6600 |
| 431, 600 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4741,6600 By Matching Biggest Common Factor Method
Now, list down the factors of 4741
:1,11,431,4741
Now, list down the factors of 6600
:1,2,3,4,5,6,8,10,11,12,15,20,22,24,25,30,33,40,44,50,55,60,66,75,88,100,110,120,132,150,165,200,220,264,275,300,330,440,550,600,660,825,1100,1320,1650,2200,3300,6600
Greatest Common Factor
We found the factors 4741,6600 . The biggest common factor number is the GCF number.
So the greatest common factor 4741,6600 is 11.
Lets's calculate LCM of 373,8409
Given numbers has no common factors except 1. So, there LCM is their product i.e 3136557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3136557
Therefore, the GCF of Fractions 4741/373,6600/8409 is 11/3136557
Least Common Multiple of 373,8409 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 373,8409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,8409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,8409) x common factors =1 x 1 = 1
LCM(373,8409) = ( 373 × 8409 ) / 1
LCM(373,8409) = 3136557 / 1
LCM(373,8409) = 3136557
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FAQs on GCF of Fractions of 4741/373, 6600/8409
1. What is the HCF of 4741,6600?
The HCF of 4741,6600 is 11
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 4741/373, 6600/8409?
Answer: GCF of Numerators as per given numbers 4741/373, 6600/8409 is
GCF of Numerators i.e. for 4741,6600 is 11
LCM of denominators i.e. for 373,8409 is 3136557.
Thus, GCF of Fractions is 11/3136557.Finally, GCF of Fractions for 4741/373, 6600/8409 is 11/3136557.