GCF of 3040/819, 2838/626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3040/819, 2838/626 i.e 2/512694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3040/819, 2838/626.
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 3040/819,2838/626?
Given fractions are 3040/819,2838/626
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 3040/819,2838/626, numerators are 3040,2838
Denominators are 819,626
The GCF of 3040,2838 is 2 .
LCM of 819,626 is 512694.
The greatest common factor of 3040/819,2838/626 = [GCF of 3040,2838]/[LCM of 819,626]= 2/512694
Therefore, the GCF of 3040/819,2838/626 is 2/512694.
To find the highest common factor of 3040,2838, we have to find the factors of both numbers and list the highest common factor.
The factors of 3040 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040
The factors of 2838 are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838
The HCF of 3040,2838 is 2.
Lets's calculate GCF of 3040,2838
| 2 | 3040, 2838 |
| 1520, 1419 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3040,2838 By Matching Biggest Common Factor Method
Now, list down the factors of 3040
:1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040
Now, list down the factors of 2838
:1,2,3,6,11,22,33,43,66,86,129,258,473,946,1419,2838
Greatest Common Factor
We found the factors 3040,2838 . The biggest common factor number is the GCF number.
So the greatest common factor 3040,2838 is 2.
Lets's calculate LCM of 819,626
Given numbers has no common factors except 1. So, there LCM is their product i.e 512694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/512694
Therefore, the GCF of Fractions 3040/819,2838/626 is 2/512694
Least Common Multiple of 819,626 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 819,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,626) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,626) x common factors =1 x 1 = 1
LCM(819,626) = ( 819 × 626 ) / 1
LCM(819,626) = 512694 / 1
LCM(819,626) = 512694
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FAQs on GCF of Fractions of 3040/819, 2838/626
1. What is the HCF of 3040,2838?
The HCF of 3040,2838 is 2
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 3040/819, 2838/626?
Answer: GCF of Numerators as per given numbers 3040/819, 2838/626 is
GCF of Numerators i.e. for 3040,2838 is 2
LCM of denominators i.e. for 819,626 is 512694.
Thus, GCF of Fractions is 2/512694.Finally, GCF of Fractions for 3040/819, 2838/626 is 2/512694.