GCF of 2005/539, 1005/3135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2005/539, 1005/3135 i.e 5/153615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2005/539, 1005/3135.
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 2005/539,1005/3135?
Given fractions are 2005/539,1005/3135
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 2005/539,1005/3135, numerators are 2005,1005
Denominators are 539,3135
The GCF of 2005,1005 is 5 .
LCM of 539,3135 is 153615.
The greatest common factor of 2005/539,1005/3135 = [GCF of 2005,1005]/[LCM of 539,3135]= 5/153615
Therefore, the GCF of 2005/539,1005/3135 is 5/153615.
To find the highest common factor of 2005,1005, we have to find the factors of both numbers and list the highest common factor.
The factors of 2005 are 1, 5, 401, 2005
The factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005
The HCF of 2005,1005 is 5.
Lets's calculate GCF of 2005,1005
| 5 | 2005, 1005 |
| 401, 201 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2005,1005 By Matching Biggest Common Factor Method
Now, list down the factors of 2005
:1,5,401,2005
Now, list down the factors of 1005
:1,3,5,15,67,201,335,1005
Greatest Common Factor
We found the factors 2005,1005 . The biggest common factor number is the GCF number.
So the greatest common factor 2005,1005 is 5.
Lets's calculate LCM of 539,3135
| 11 | 539, 3135 |
| 49, 285 |
∴ So the LCM of the given numbers is 11 x 49 x 285 = 153615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/153615
Therefore, the GCF of Fractions 2005/539,1005/3135 is 5/153615
Least Common Multiple of 539,3135 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 539,3135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,3135) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(539,3135) x common factors =11 x 1 = 11
LCM(539,3135) = ( 539 × 3135 ) / 11
LCM(539,3135) = 1689765 / 11
LCM(539,3135) = 153615
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FAQs on GCF of Fractions of 2005/539, 1005/3135
1. What is the HCF of 2005,1005?
The HCF of 2005,1005 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 2005/539, 1005/3135?
Answer: GCF of Numerators as per given numbers 2005/539, 1005/3135 is
GCF of Numerators i.e. for 2005,1005 is 5
LCM of denominators i.e. for 539,3135 is 153615.
Thus, GCF of Fractions is 5/153615.Finally, GCF of Fractions for 2005/539, 1005/3135 is 5/153615.