GCF of 9905/819, 1854/4731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9905/819, 1854/4731 i.e 1/1291563 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9905/819, 1854/4731.
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 9905/819,1854/4731?
Given fractions are 9905/819,1854/4731
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 9905/819,1854/4731, numerators are 9905,1854
Denominators are 819,4731
The GCF of 9905,1854 is 1 .
LCM of 819,4731 is 1291563.
The greatest common factor of 9905/819,1854/4731 = [GCF of 9905,1854]/[LCM of 819,4731]= 1/1291563
Therefore, the GCF of 9905/819,1854/4731 is 1/1291563.
To find the highest common factor of 9905,1854, we have to find the factors of both numbers and list the highest common factor.
The factors of 9905 are 1, 5, 7, 35, 283, 1415, 1981, 9905
The factors of 1854 are 1, 2, 3, 6, 9, 18, 103, 206, 309, 618, 927, 1854
The HCF of 9905,1854 is 1.
Lets's calculate GCF of 9905,1854
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9905,1854 By Matching Biggest Common Factor Method
Now, list down the factors of 9905
:1,5,7,35,283,1415,1981,9905
Now, list down the factors of 1854
:1,2,3,6,9,18,103,206,309,618,927,1854
Greatest Common Factor
We found the factors 9905,1854 . The biggest common factor number is the GCF number.
So the greatest common factor 9905,1854 is 1.
Lets's calculate LCM of 819,4731
| 3 | 819, 4731 |
| 273, 1577 |
∴ So the LCM of the given numbers is 3 x 273 x 1577 = 1291563
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1291563
Therefore, the GCF of Fractions 9905/819,1854/4731 is 1/1291563
Least Common Multiple of 819,4731 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 819,4731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,4731) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(819,4731) x common factors =3 x 1 = 3
LCM(819,4731) = ( 819 × 4731 ) / 3
LCM(819,4731) = 3874689 / 3
LCM(819,4731) = 1291563
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9905/819, 1854/4731
1. What is the HCF of 9905,1854?
The HCF of 9905,1854 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 9905/819, 1854/4731?
Answer: GCF of Numerators as per given numbers 9905/819, 1854/4731 is
GCF of Numerators i.e. for 9905,1854 is 1
LCM of denominators i.e. for 819,4731 is 1291563.
Thus, GCF of Fractions is 1/1291563.Finally, GCF of Fractions for 9905/819, 1854/4731 is 1/1291563.