GCF of 8100/285, 7866/557
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8100/285, 7866/557 i.e 18/158745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8100/285, 7866/557.
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 8100/285,7866/557?
Given fractions are 8100/285,7866/557
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 8100/285,7866/557, numerators are 8100,7866
Denominators are 285,557
The GCF of 8100,7866 is 18 .
LCM of 285,557 is 158745.
The greatest common factor of 8100/285,7866/557 = [GCF of 8100,7866]/[LCM of 285,557]= 18/158745
Therefore, the GCF of 8100/285,7866/557 is 18/158745.
To find the highest common factor of 8100,7866, 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 7866 are 1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866
The HCF of 8100,7866 is 18.
Lets's calculate GCF of 8100,7866
| 2 | 8100, 7866 |
| 3 | 4050, 3933 |
| 3 | 1350, 1311 |
| 450, 437 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 8100,7866 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 7866
:1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866
Greatest Common Factor
We found the factors 8100,7866 . The biggest common factor number is the GCF number.
So the greatest common factor 8100,7866 is 18.
Lets's calculate LCM of 285,557
Given numbers has no common factors except 1. So, there LCM is their product i.e 158745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/158745
Therefore, the GCF of Fractions 8100/285,7866/557 is 18/158745
Least Common Multiple of 285,557 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 285,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(285,557) x common factors =1 x 1 = 1
LCM(285,557) = ( 285 × 557 ) / 1
LCM(285,557) = 158745 / 1
LCM(285,557) = 158745
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8100/285, 7866/557
1. What is the HCF of 8100,7866?
The HCF of 8100,7866 is 18
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 8100/285, 7866/557?
Answer: GCF of Numerators as per given numbers 8100/285, 7866/557 is
GCF of Numerators i.e. for 8100,7866 is 18
LCM of denominators i.e. for 285,557 is 158745.
Thus, GCF of Fractions is 18/158745.Finally, GCF of Fractions for 8100/285, 7866/557 is 18/158745.