GCF of 3300/619, 9729/3946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3300/619, 9729/3946 i.e 3/2442574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3300/619, 9729/3946.
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 3300/619,9729/3946?
Given fractions are 3300/619,9729/3946
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 3300/619,9729/3946, numerators are 3300,9729
Denominators are 619,3946
The GCF of 3300,9729 is 3 .
LCM of 619,3946 is 2442574.
The greatest common factor of 3300/619,9729/3946 = [GCF of 3300,9729]/[LCM of 619,3946]= 3/2442574
Therefore, the GCF of 3300/619,9729/3946 is 3/2442574.
To find the highest common factor of 3300,9729, we have to find the factors of both numbers and list the highest common factor.
The factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300
The factors of 9729 are 1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729
The HCF of 3300,9729 is 3.
Lets's calculate GCF of 3300,9729
| 3 | 3300, 9729 |
| 1100, 3243 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3300,9729 By Matching Biggest Common Factor Method
Now, list down the factors of 3300
:1,2,3,4,5,6,10,11,12,15,20,22,25,30,33,44,50,55,60,66,75,100,110,132,150,165,220,275,300,330,550,660,825,1100,1650,3300
Now, list down the factors of 9729
:1,3,9,23,47,69,141,207,423,1081,3243,9729
Greatest Common Factor
We found the factors 3300,9729 . The biggest common factor number is the GCF number.
So the greatest common factor 3300,9729 is 3.
Lets's calculate LCM of 619,3946
Given numbers has no common factors except 1. So, there LCM is their product i.e 2442574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2442574
Therefore, the GCF of Fractions 3300/619,9729/3946 is 3/2442574
Least Common Multiple of 619,3946 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 619,3946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,3946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,3946) x common factors =1 x 1 = 1
LCM(619,3946) = ( 619 × 3946 ) / 1
LCM(619,3946) = 2442574 / 1
LCM(619,3946) = 2442574
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FAQs on GCF of Fractions of 3300/619, 9729/3946
1. What is the HCF of 3300,9729?
The HCF of 3300,9729 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 3300/619, 9729/3946?
Answer: GCF of Numerators as per given numbers 3300/619, 9729/3946 is
GCF of Numerators i.e. for 3300,9729 is 3
LCM of denominators i.e. for 619,3946 is 2442574.
Thus, GCF of Fractions is 3/2442574.Finally, GCF of Fractions for 3300/619, 9729/3946 is 3/2442574.