GCF of 6002/192, 4516/198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6002/192, 4516/198 i.e 2/6336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6002/192, 4516/198.
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 6002/192,4516/198?
Given fractions are 6002/192,4516/198
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 6002/192,4516/198, numerators are 6002,4516
Denominators are 192,198
The GCF of 6002,4516 is 2 .
LCM of 192,198 is 6336.
The greatest common factor of 6002/192,4516/198 = [GCF of 6002,4516]/[LCM of 192,198]= 2/6336
Therefore, the GCF of 6002/192,4516/198 is 2/6336.
To find the highest common factor of 6002,4516, we have to find the factors of both numbers and list the highest common factor.
The factors of 6002 are 1, 2, 3001, 6002
The factors of 4516 are 1, 2, 4, 1129, 2258, 4516
The HCF of 6002,4516 is 2.
Lets's calculate GCF of 6002,4516
| 2 | 6002, 4516 |
| 3001, 2258 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6002,4516 By Matching Biggest Common Factor Method
Now, list down the factors of 6002
:1,2,3001,6002
Now, list down the factors of 4516
:1,2,4,1129,2258,4516
Greatest Common Factor
We found the factors 6002,4516 . The biggest common factor number is the GCF number.
So the greatest common factor 6002,4516 is 2.
Lets's calculate LCM of 192,198
| 2 | 192, 198 |
| 3 | 96, 99 |
| 32, 33 |
∴ So the LCM of the given numbers is 2 x 3 x 32 x 33 = 6336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6336
Therefore, the GCF of Fractions 6002/192,4516/198 is 2/6336
Least Common Multiple of 192,198 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 192,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,198) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(192,198) x common factors =6 x 1 = 6
LCM(192,198) = ( 192 × 198 ) / 6
LCM(192,198) = 38016 / 6
LCM(192,198) = 6336
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FAQs on GCF of Fractions of 6002/192, 4516/198
1. What is the HCF of 6002,4516?
The HCF of 6002,4516 is 2
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 6002/192, 4516/198?
Answer: GCF of Numerators as per given numbers 6002/192, 4516/198 is
GCF of Numerators i.e. for 6002,4516 is 2
LCM of denominators i.e. for 192,198 is 6336.
Thus, GCF of Fractions is 2/6336.Finally, GCF of Fractions for 6002/192, 4516/198 is 2/6336.