GCF of 6039/200, 2739/3919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6039/200, 2739/3919 i.e 33/783800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6039/200, 2739/3919.
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 6039/200,2739/3919?
Given fractions are 6039/200,2739/3919
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 6039/200,2739/3919, numerators are 6039,2739
Denominators are 200,3919
The GCF of 6039,2739 is 33 .
LCM of 200,3919 is 783800.
The greatest common factor of 6039/200,2739/3919 = [GCF of 6039,2739]/[LCM of 200,3919]= 33/783800
Therefore, the GCF of 6039/200,2739/3919 is 33/783800.
To find the highest common factor of 6039,2739, we have to find the factors of both numbers and list the highest common factor.
The factors of 6039 are 1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039
The factors of 2739 are 1, 3, 11, 33, 83, 249, 913, 2739
The HCF of 6039,2739 is 33.
Lets's calculate GCF of 6039,2739
| 3 | 6039, 2739 |
| 11 | 2013, 913 |
| 183, 83 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 6039,2739 By Matching Biggest Common Factor Method
Now, list down the factors of 6039
:1,3,9,11,33,61,99,183,549,671,2013,6039
Now, list down the factors of 2739
:1,3,11,33,83,249,913,2739
Greatest Common Factor
We found the factors 6039,2739 . The biggest common factor number is the GCF number.
So the greatest common factor 6039,2739 is 33.
Lets's calculate LCM of 200,3919
Given numbers has no common factors except 1. So, there LCM is their product i.e 783800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/783800
Therefore, the GCF of Fractions 6039/200,2739/3919 is 33/783800
Least Common Multiple of 200,3919 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 200,3919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,3919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(200,3919) x common factors =1 x 1 = 1
LCM(200,3919) = ( 200 × 3919 ) / 1
LCM(200,3919) = 783800 / 1
LCM(200,3919) = 783800
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FAQs on GCF of Fractions of 6039/200, 2739/3919
1. What is the HCF of 6039,2739?
The HCF of 6039,2739 is 33
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 6039/200, 2739/3919?
Answer: GCF of Numerators as per given numbers 6039/200, 2739/3919 is
GCF of Numerators i.e. for 6039,2739 is 33
LCM of denominators i.e. for 200,3919 is 783800.
Thus, GCF of Fractions is 33/783800.Finally, GCF of Fractions for 6039/200, 2739/3919 is 33/783800.