GCF of 2001/502, 1640/1374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2001/502, 1640/1374 i.e 1/344874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2001/502, 1640/1374.
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 2001/502,1640/1374?
Given fractions are 2001/502,1640/1374
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 2001/502,1640/1374, numerators are 2001,1640
Denominators are 502,1374
The GCF of 2001,1640 is 1 .
LCM of 502,1374 is 344874.
The greatest common factor of 2001/502,1640/1374 = [GCF of 2001,1640]/[LCM of 502,1374]= 1/344874
Therefore, the GCF of 2001/502,1640/1374 is 1/344874.
To find the highest common factor of 2001,1640, we have to find the factors of both numbers and list the highest common factor.
The factors of 2001 are 1, 3, 23, 29, 69, 87, 667, 2001
The factors of 1640 are 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640
The HCF of 2001,1640 is 1.
Lets's calculate GCF of 2001,1640
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2001,1640 By Matching Biggest Common Factor Method
Now, list down the factors of 2001
:1,3,23,29,69,87,667,2001
Now, list down the factors of 1640
:1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640
Greatest Common Factor
We found the factors 2001,1640 . The biggest common factor number is the GCF number.
So the greatest common factor 2001,1640 is 1.
Lets's calculate LCM of 502,1374
| 2 | 502, 1374 |
| 251, 687 |
∴ So the LCM of the given numbers is 2 x 251 x 687 = 344874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344874
Therefore, the GCF of Fractions 2001/502,1640/1374 is 1/344874
Least Common Multiple of 502,1374 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 502,1374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,1374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(502,1374) x common factors =2 x 1 = 2
LCM(502,1374) = ( 502 × 1374 ) / 2
LCM(502,1374) = 689748 / 2
LCM(502,1374) = 344874
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FAQs on GCF of Fractions of 2001/502, 1640/1374
1. What is the HCF of 2001,1640?
The HCF of 2001,1640 is 1
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 2001/502, 1640/1374?
Answer: GCF of Numerators as per given numbers 2001/502, 1640/1374 is
GCF of Numerators i.e. for 2001,1640 is 1
LCM of denominators i.e. for 502,1374 is 344874.
Thus, GCF of Fractions is 1/344874.Finally, GCF of Fractions for 2001/502, 1640/1374 is 1/344874.