GCF of 2481/873, 1305/9675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2481/873, 1305/9675 i.e 3/938475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2481/873, 1305/9675.
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 2481/873,1305/9675?
Given fractions are 2481/873,1305/9675
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 2481/873,1305/9675, numerators are 2481,1305
Denominators are 873,9675
The GCF of 2481,1305 is 3 .
LCM of 873,9675 is 938475.
The greatest common factor of 2481/873,1305/9675 = [GCF of 2481,1305]/[LCM of 873,9675]= 3/938475
Therefore, the GCF of 2481/873,1305/9675 is 3/938475.
To find the highest common factor of 2481,1305, we have to find the factors of both numbers and list the highest common factor.
The factors of 2481 are 1, 3, 827, 2481
The factors of 1305 are 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305
The HCF of 2481,1305 is 3.
Lets's calculate GCF of 2481,1305
| 3 | 2481, 1305 |
| 827, 435 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2481,1305 By Matching Biggest Common Factor Method
Now, list down the factors of 2481
:1,3,827,2481
Now, list down the factors of 1305
:1,3,5,9,15,29,45,87,145,261,435,1305
Greatest Common Factor
We found the factors 2481,1305 . The biggest common factor number is the GCF number.
So the greatest common factor 2481,1305 is 3.
Lets's calculate LCM of 873,9675
| 3 | 873, 9675 |
| 3 | 291, 3225 |
| 97, 1075 |
∴ So the LCM of the given numbers is 3 x 3 x 97 x 1075 = 938475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/938475
Therefore, the GCF of Fractions 2481/873,1305/9675 is 3/938475
Least Common Multiple of 873,9675 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 873,9675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,9675) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(873,9675) x common factors =9 x 1 = 9
LCM(873,9675) = ( 873 × 9675 ) / 9
LCM(873,9675) = 8446275 / 9
LCM(873,9675) = 938475
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2481/873, 1305/9675
1. What is the HCF of 2481,1305?
The HCF of 2481,1305 is 3
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 2481/873, 1305/9675?
Answer: GCF of Numerators as per given numbers 2481/873, 1305/9675 is
GCF of Numerators i.e. for 2481,1305 is 3
LCM of denominators i.e. for 873,9675 is 938475.
Thus, GCF of Fractions is 3/938475.Finally, GCF of Fractions for 2481/873, 1305/9675 is 3/938475.