Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 855, 657, 810, 300 i.e. 3 largest integer that divides all the numbers equally.
GCD of 855, 657, 810, 300 is 3
GCD(855, 657, 810, 300) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 657, 810, 300 is 3
GCD(855, 657, 810, 300) = 3
Given Input numbers are 855, 657, 810, 300
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Greatest Common Divisior
We found the divisors of 855, 657, 810, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 657, 810, 300 is 3.
Therefore, GCD of numbers 855, 657, 810, 300 is 3
Given Input Data is 855, 657, 810, 300
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(855, 657) = 62415
GCD(855, 657) = ( 855 x 657 ) / 62415
GCD(855, 657) = 561735 / 62415
GCD(855, 657) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 810) = 810
GCD(9, 810) = ( 9 x 810 ) / 810
GCD(9, 810) = 7290 / 810
GCD(9, 810) = 9
Step3:
Here we consider the GCD from the above i.e. 9 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 300) = 900
GCD(9, 300) = ( 9 x 300 ) / 900
GCD(9, 300) = 2700 / 900
GCD(9, 300) = 3
GCD of 855, 657, 810, 300 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 657, 810, 300?
GCD of 855, 657, 810, 300 is 3
2. Where do I get the detailed procedure to find GCD of 855, 657, 810, 300?
You can find a detailed procedure to find GCD of 855, 657, 810, 300 on our page.
3. How to find GCD of 855, 657, 810, 300 on a calculator?
You can find the GCD of 855, 657, 810, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.