GCF of 8100/319, 3838/1965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8100/319, 3838/1965 i.e 2/626835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8100/319, 3838/1965.
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 8100/319,3838/1965?
Given fractions are 8100/319,3838/1965
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 8100/319,3838/1965, numerators are 8100,3838
Denominators are 319,1965
The GCF of 8100,3838 is 2 .
LCM of 319,1965 is 626835.
The greatest common factor of 8100/319,3838/1965 = [GCF of 8100,3838]/[LCM of 319,1965]= 2/626835
Therefore, the GCF of 8100/319,3838/1965 is 2/626835.
To find the highest common factor of 8100,3838, we have to find the factors of both numbers and list the highest common factor.
The factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100
The factors of 3838 are 1, 2, 19, 38, 101, 202, 1919, 3838
The HCF of 8100,3838 is 2.
Lets's calculate GCF of 8100,3838
| 2 | 8100, 3838 |
| 4050, 1919 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8100,3838 By Matching Biggest Common Factor Method
Now, list down the factors of 8100
:1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,81,90,100,108,135,150,162,180,225,270,300,324,405,450,540,675,810,900,1350,1620,2025,2700,4050,8100
Now, list down the factors of 3838
:1,2,19,38,101,202,1919,3838
Greatest Common Factor
We found the factors 8100,3838 . The biggest common factor number is the GCF number.
So the greatest common factor 8100,3838 is 2.
Lets's calculate LCM of 319,1965
Given numbers has no common factors except 1. So, there LCM is their product i.e 626835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/626835
Therefore, the GCF of Fractions 8100/319,3838/1965 is 2/626835
Least Common Multiple of 319,1965 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 319,1965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,1965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,1965) x common factors =1 x 1 = 1
LCM(319,1965) = ( 319 × 1965 ) / 1
LCM(319,1965) = 626835 / 1
LCM(319,1965) = 626835
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FAQs on GCF of Fractions of 8100/319, 3838/1965
1. What is the HCF of 8100,3838?
The HCF of 8100,3838 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 8100/319, 3838/1965?
Answer: GCF of Numerators as per given numbers 8100/319, 3838/1965 is
GCF of Numerators i.e. for 8100,3838 is 2
LCM of denominators i.e. for 319,1965 is 626835.
Thus, GCF of Fractions is 2/626835.Finally, GCF of Fractions for 8100/319, 3838/1965 is 2/626835.