GCF of 3005/205, 6655/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3005/205, 6655/825 i.e 5/33825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3005/205, 6655/825.
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 3005/205,6655/825?
Given fractions are 3005/205,6655/825
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 3005/205,6655/825, numerators are 3005,6655
Denominators are 205,825
The GCF of 3005,6655 is 5 .
LCM of 205,825 is 33825.
The greatest common factor of 3005/205,6655/825 = [GCF of 3005,6655]/[LCM of 205,825]= 5/33825
Therefore, the GCF of 3005/205,6655/825 is 5/33825.
To find the highest common factor of 3005,6655, we have to find the factors of both numbers and list the highest common factor.
The factors of 3005 are 1, 5, 601, 3005
The factors of 6655 are 1, 5, 11, 55, 121, 605, 1331, 6655
The HCF of 3005,6655 is 5.
Lets's calculate GCF of 3005,6655
| 5 | 3005, 6655 |
| 601, 1331 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3005,6655 By Matching Biggest Common Factor Method
Now, list down the factors of 3005
:1,5,601,3005
Now, list down the factors of 6655
:1,5,11,55,121,605,1331,6655
Greatest Common Factor
We found the factors 3005,6655 . The biggest common factor number is the GCF number.
So the greatest common factor 3005,6655 is 5.
Lets's calculate LCM of 205,825
| 5 | 205, 825 |
| 41, 165 |
∴ So the LCM of the given numbers is 5 x 41 x 165 = 33825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/33825
Therefore, the GCF of Fractions 3005/205,6655/825 is 5/33825
Least Common Multiple of 205,825 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 205,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,825) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(205,825) x common factors =5 x 1 = 5
LCM(205,825) = ( 205 × 825 ) / 5
LCM(205,825) = 169125 / 5
LCM(205,825) = 33825
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FAQs on GCF of Fractions of 3005/205, 6655/825
1. What is the HCF of 3005,6655?
The HCF of 3005,6655 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 3005/205, 6655/825?
Answer: GCF of Numerators as per given numbers 3005/205, 6655/825 is
GCF of Numerators i.e. for 3005,6655 is 5
LCM of denominators i.e. for 205,825 is 33825.
Thus, GCF of Fractions is 5/33825.Finally, GCF of Fractions for 3005/205, 6655/825 is 5/33825.