GCF of 2933/331, 6210/1589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2933/331, 6210/1589 i.e 1/525959 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2933/331, 6210/1589.
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 2933/331,6210/1589?
Given fractions are 2933/331,6210/1589
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 2933/331,6210/1589, numerators are 2933,6210
Denominators are 331,1589
The GCF of 2933,6210 is 1 .
LCM of 331,1589 is 525959.
The greatest common factor of 2933/331,6210/1589 = [GCF of 2933,6210]/[LCM of 331,1589]= 1/525959
Therefore, the GCF of 2933/331,6210/1589 is 1/525959.
To find the highest common factor of 2933,6210, we have to find the factors of both numbers and list the highest common factor.
The factors of 2933 are 1, 7, 419, 2933
The factors of 6210 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 90, 115, 135, 138, 207, 230, 270, 345, 414, 621, 690, 1035, 1242, 2070, 3105, 6210
The HCF of 2933,6210 is 1.
Lets's calculate GCF of 2933,6210
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2933,6210 By Matching Biggest Common Factor Method
Now, list down the factors of 2933
:1,7,419,2933
Now, list down the factors of 6210
:1,2,3,5,6,9,10,15,18,23,27,30,45,46,54,69,90,115,135,138,207,230,270,345,414,621,690,1035,1242,2070,3105,6210
Greatest Common Factor
We found the factors 2933,6210 . The biggest common factor number is the GCF number.
So the greatest common factor 2933,6210 is 1.
Lets's calculate LCM of 331,1589
Given numbers has no common factors except 1. So, there LCM is their product i.e 525959
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/525959
Therefore, the GCF of Fractions 2933/331,6210/1589 is 1/525959
Least Common Multiple of 331,1589 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 331,1589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,1589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,1589) x common factors =1 x 1 = 1
LCM(331,1589) = ( 331 × 1589 ) / 1
LCM(331,1589) = 525959 / 1
LCM(331,1589) = 525959
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FAQs on GCF of Fractions of 2933/331, 6210/1589
1. What is the HCF of 2933,6210?
The HCF of 2933,6210 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 2933/331, 6210/1589?
Answer: GCF of Numerators as per given numbers 2933/331, 6210/1589 is
GCF of Numerators i.e. for 2933,6210 is 1
LCM of denominators i.e. for 331,1589 is 525959.
Thus, GCF of Fractions is 1/525959.Finally, GCF of Fractions for 2933/331, 6210/1589 is 1/525959.