GCF of 1885/404, 1820/9094
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1885/404, 1820/9094 i.e 65/1836988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1885/404, 1820/9094.
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 1885/404,1820/9094?
Given fractions are 1885/404,1820/9094
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 1885/404,1820/9094, numerators are 1885,1820
Denominators are 404,9094
The GCF of 1885,1820 is 65 .
LCM of 404,9094 is 1836988.
The greatest common factor of 1885/404,1820/9094 = [GCF of 1885,1820]/[LCM of 404,9094]= 65/1836988
Therefore, the GCF of 1885/404,1820/9094 is 65/1836988.
To find the highest common factor of 1885,1820, we have to find the factors of both numbers and list the highest common factor.
The factors of 1885 are 1, 5, 13, 29, 65, 145, 377, 1885
The factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820
The HCF of 1885,1820 is 65.
Lets's calculate GCF of 1885,1820
| 5 | 1885, 1820 |
| 13 | 377, 364 |
| 29, 28 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Greatest Common Factor of 1885,1820 By Matching Biggest Common Factor Method
Now, list down the factors of 1885
:1,5,13,29,65,145,377,1885
Now, list down the factors of 1820
:1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820
Greatest Common Factor
We found the factors 1885,1820 . The biggest common factor number is the GCF number.
So the greatest common factor 1885,1820 is 65.
Lets's calculate LCM of 404,9094
| 2 | 404, 9094 |
| 202, 4547 |
∴ So the LCM of the given numbers is 2 x 202 x 4547 = 1836988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/1836988
Therefore, the GCF of Fractions 1885/404,1820/9094 is 65/1836988
Least Common Multiple of 404,9094 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 404,9094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,9094) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(404,9094) x common factors =2 x 1 = 2
LCM(404,9094) = ( 404 × 9094 ) / 2
LCM(404,9094) = 3673976 / 2
LCM(404,9094) = 1836988
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FAQs on GCF of Fractions of 1885/404, 1820/9094
1. What is the HCF of 1885,1820?
The HCF of 1885,1820 is 65
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 1885/404, 1820/9094?
Answer: GCF of Numerators as per given numbers 1885/404, 1820/9094 is
GCF of Numerators i.e. for 1885,1820 is 65
LCM of denominators i.e. for 404,9094 is 1836988.
Thus, GCF of Fractions is 65/1836988.Finally, GCF of Fractions for 1885/404, 1820/9094 is 65/1836988.