GCF of 3305/146, 8200/9498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3305/146, 8200/9498 i.e 5/693354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3305/146, 8200/9498.
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 3305/146,8200/9498?
Given fractions are 3305/146,8200/9498
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 3305/146,8200/9498, numerators are 3305,8200
Denominators are 146,9498
The GCF of 3305,8200 is 5 .
LCM of 146,9498 is 693354.
The greatest common factor of 3305/146,8200/9498 = [GCF of 3305,8200]/[LCM of 146,9498]= 5/693354
Therefore, the GCF of 3305/146,8200/9498 is 5/693354.
To find the highest common factor of 3305,8200, we have to find the factors of both numbers and list the highest common factor.
The factors of 3305 are 1, 5, 661, 3305
The factors of 8200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200
The HCF of 3305,8200 is 5.
Lets's calculate GCF of 3305,8200
| 5 | 3305, 8200 |
| 661, 1640 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3305,8200 By Matching Biggest Common Factor Method
Now, list down the factors of 3305
:1,5,661,3305
Now, list down the factors of 8200
:1,2,4,5,8,10,20,25,40,41,50,82,100,164,200,205,328,410,820,1025,1640,2050,4100,8200
Greatest Common Factor
We found the factors 3305,8200 . The biggest common factor number is the GCF number.
So the greatest common factor 3305,8200 is 5.
Lets's calculate LCM of 146,9498
| 2 | 146, 9498 |
| 73, 4749 |
∴ So the LCM of the given numbers is 2 x 73 x 4749 = 693354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/693354
Therefore, the GCF of Fractions 3305/146,8200/9498 is 5/693354
Least Common Multiple of 146,9498 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 146,9498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,9498) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,9498) x common factors =2 x 1 = 2
LCM(146,9498) = ( 146 × 9498 ) / 2
LCM(146,9498) = 1386708 / 2
LCM(146,9498) = 693354
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FAQs on GCF of Fractions of 3305/146, 8200/9498
1. What is the HCF of 3305,8200?
The HCF of 3305,8200 is 5
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 3305/146, 8200/9498?
Answer: GCF of Numerators as per given numbers 3305/146, 8200/9498 is
GCF of Numerators i.e. for 3305,8200 is 5
LCM of denominators i.e. for 146,9498 is 693354.
Thus, GCF of Fractions is 5/693354.Finally, GCF of Fractions for 3305/146, 8200/9498 is 5/693354.