GCF of 4005/171, 2013/5568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4005/171, 2013/5568 i.e 3/317376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4005/171, 2013/5568.
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 4005/171,2013/5568?
Given fractions are 4005/171,2013/5568
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 4005/171,2013/5568, numerators are 4005,2013
Denominators are 171,5568
The GCF of 4005,2013 is 3 .
LCM of 171,5568 is 317376.
The greatest common factor of 4005/171,2013/5568 = [GCF of 4005,2013]/[LCM of 171,5568]= 3/317376
Therefore, the GCF of 4005/171,2013/5568 is 3/317376.
To find the highest common factor of 4005,2013, we have to find the factors of both numbers and list the highest common factor.
The factors of 4005 are 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335, 4005
The factors of 2013 are 1, 3, 11, 33, 61, 183, 671, 2013
The HCF of 4005,2013 is 3.
Lets's calculate GCF of 4005,2013
| 3 | 4005, 2013 |
| 1335, 671 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4005,2013 By Matching Biggest Common Factor Method
Now, list down the factors of 4005
:1,3,5,9,15,45,89,267,445,801,1335,4005
Now, list down the factors of 2013
:1,3,11,33,61,183,671,2013
Greatest Common Factor
We found the factors 4005,2013 . The biggest common factor number is the GCF number.
So the greatest common factor 4005,2013 is 3.
Lets's calculate LCM of 171,5568
| 3 | 171, 5568 |
| 57, 1856 |
∴ So the LCM of the given numbers is 3 x 57 x 1856 = 317376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/317376
Therefore, the GCF of Fractions 4005/171,2013/5568 is 3/317376
Least Common Multiple of 171,5568 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 171,5568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,5568) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(171,5568) x common factors =3 x 1 = 3
LCM(171,5568) = ( 171 × 5568 ) / 3
LCM(171,5568) = 952128 / 3
LCM(171,5568) = 317376
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FAQs on GCF of Fractions of 4005/171, 2013/5568
1. What is the HCF of 4005,2013?
The HCF of 4005,2013 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 4005/171, 2013/5568?
Answer: GCF of Numerators as per given numbers 4005/171, 2013/5568 is
GCF of Numerators i.e. for 4005,2013 is 3
LCM of denominators i.e. for 171,5568 is 317376.
Thus, GCF of Fractions is 3/317376.Finally, GCF of Fractions for 4005/171, 2013/5568 is 3/317376.