GCF of 1711/166, 2006/5296
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1711/166, 2006/5296 i.e 59/439568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1711/166, 2006/5296.
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 1711/166,2006/5296?
Given fractions are 1711/166,2006/5296
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 1711/166,2006/5296, numerators are 1711,2006
Denominators are 166,5296
The GCF of 1711,2006 is 59 .
LCM of 166,5296 is 439568.
The greatest common factor of 1711/166,2006/5296 = [GCF of 1711,2006]/[LCM of 166,5296]= 59/439568
Therefore, the GCF of 1711/166,2006/5296 is 59/439568.
To find the highest common factor of 1711,2006, we have to find the factors of both numbers and list the highest common factor.
The factors of 1711 are 1, 29, 59, 1711
The factors of 2006 are 1, 2, 17, 34, 59, 118, 1003, 2006
The HCF of 1711,2006 is 59.
Lets's calculate GCF of 1711,2006
| 59 | 1711, 2006 |
| 29, 34 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 1711,2006 By Matching Biggest Common Factor Method
Now, list down the factors of 1711
:1,29,59,1711
Now, list down the factors of 2006
:1,2,17,34,59,118,1003,2006
Greatest Common Factor
We found the factors 1711,2006 . The biggest common factor number is the GCF number.
So the greatest common factor 1711,2006 is 59.
Lets's calculate LCM of 166,5296
| 2 | 166, 5296 |
| 83, 2648 |
∴ So the LCM of the given numbers is 2 x 83 x 2648 = 439568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/439568
Therefore, the GCF of Fractions 1711/166,2006/5296 is 59/439568
Least Common Multiple of 166,5296 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 166,5296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,5296) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,5296) x common factors =2 x 1 = 2
LCM(166,5296) = ( 166 × 5296 ) / 2
LCM(166,5296) = 879136 / 2
LCM(166,5296) = 439568
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FAQs on GCF of Fractions of 1711/166, 2006/5296
1. What is the HCF of 1711,2006?
The HCF of 1711,2006 is 59
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 1711/166, 2006/5296?
Answer: GCF of Numerators as per given numbers 1711/166, 2006/5296 is
GCF of Numerators i.e. for 1711,2006 is 59
LCM of denominators i.e. for 166,5296 is 439568.
Thus, GCF of Fractions is 59/439568.Finally, GCF of Fractions for 1711/166, 2006/5296 is 59/439568.