GCF of 6600/794, 4581/4964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6600/794, 4581/4964 i.e 3/1970708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6600/794, 4581/4964.
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 6600/794,4581/4964?
Given fractions are 6600/794,4581/4964
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 6600/794,4581/4964, numerators are 6600,4581
Denominators are 794,4964
The GCF of 6600,4581 is 3 .
LCM of 794,4964 is 1970708.
The greatest common factor of 6600/794,4581/4964 = [GCF of 6600,4581]/[LCM of 794,4964]= 3/1970708
Therefore, the GCF of 6600/794,4581/4964 is 3/1970708.
To find the highest common factor of 6600,4581, we have to find the factors of both numbers and list the highest common factor.
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 factors of 4581 are 1, 3, 9, 509, 1527, 4581
The HCF of 6600,4581 is 3.
Lets's calculate GCF of 6600,4581
| 3 | 6600, 4581 |
| 2200, 1527 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6600,4581 By Matching Biggest Common Factor Method
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
Now, list down the factors of 4581
:1,3,9,509,1527,4581
Greatest Common Factor
We found the factors 6600,4581 . The biggest common factor number is the GCF number.
So the greatest common factor 6600,4581 is 3.
Lets's calculate LCM of 794,4964
| 2 | 794, 4964 |
| 397, 2482 |
∴ So the LCM of the given numbers is 2 x 397 x 2482 = 1970708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1970708
Therefore, the GCF of Fractions 6600/794,4581/4964 is 3/1970708
Least Common Multiple of 794,4964 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 794,4964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,4964) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(794,4964) x common factors =2 x 1 = 2
LCM(794,4964) = ( 794 × 4964 ) / 2
LCM(794,4964) = 3941416 / 2
LCM(794,4964) = 1970708
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FAQs on GCF of Fractions of 6600/794, 4581/4964
1. What is the HCF of 6600,4581?
The HCF of 6600,4581 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 6600/794, 4581/4964?
Answer: GCF of Numerators as per given numbers 6600/794, 4581/4964 is
GCF of Numerators i.e. for 6600,4581 is 3
LCM of denominators i.e. for 794,4964 is 1970708.
Thus, GCF of Fractions is 3/1970708.Finally, GCF of Fractions for 6600/794, 4581/4964 is 3/1970708.