GCF of 204/605, 849/845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 204/605, 849/845 i.e 3/102245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 204/605, 849/845.
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 204/605,849/845?
Given fractions are 204/605,849/845
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 204/605,849/845, numerators are 204,849
Denominators are 605,845
The GCF of 204,849 is 3 .
LCM of 605,845 is 102245.
The greatest common factor of 204/605,849/845 = [GCF of 204,849]/[LCM of 605,845]= 3/102245
Therefore, the GCF of 204/605,849/845 is 3/102245.
To find the highest common factor of 204,849, we have to find the factors of both numbers and list the highest common factor.
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The factors of 849 are 1, 3, 283, 849
The HCF of 204,849 is 3.
Lets's calculate GCF of 204,849
| 3 | 204, 849 |
| 68, 283 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 204,849 By Matching Biggest Common Factor Method
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Now, list down the factors of 849
:1,3,283,849
Greatest Common Factor
We found the factors 204,849 . The biggest common factor number is the GCF number.
So the greatest common factor 204,849 is 3.
Lets's calculate LCM of 605,845
| 5 | 605, 845 |
| 121, 169 |
∴ So the LCM of the given numbers is 5 x 121 x 169 = 102245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/102245
Therefore, the GCF of Fractions 204/605,849/845 is 3/102245
Least Common Multiple of 605,845 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 605,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,845) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(605,845) x common factors =5 x 1 = 5
LCM(605,845) = ( 605 × 845 ) / 5
LCM(605,845) = 511225 / 5
LCM(605,845) = 102245
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FAQs on GCF of Fractions of 204/605, 849/845
1. What is the HCF of 204,849?
The HCF of 204,849 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 204/605, 849/845?
Answer: GCF of Numerators as per given numbers 204/605, 849/845 is
GCF of Numerators i.e. for 204,849 is 3
LCM of denominators i.e. for 605,845 is 102245.
Thus, GCF of Fractions is 3/102245.Finally, GCF of Fractions for 204/605, 849/845 is 3/102245.