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 810, 786, 81, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 810, 786, 81, 220 is 1
GCD(810, 786, 81, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 786, 81, 220 is 1
GCD(810, 786, 81, 220) = 1
Given Input numbers are 810, 786, 81, 220
To find the GCD of numbers using factoring list out all the divisors of each number
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 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 810, 786, 81, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 786, 81, 220 is 1.
Therefore, GCD of numbers 810, 786, 81, 220 is 1
Given Input Data is 810, 786, 81, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 220 is 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
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(810, 786) = 106110
GCD(810, 786) = ( 810 x 786 ) / 106110
GCD(810, 786) = 636660 / 106110
GCD(810, 786) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 81) = 162
GCD(6, 81) = ( 6 x 81 ) / 162
GCD(6, 81) = 486 / 162
GCD(6, 81) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 220) = 660
GCD(3, 220) = ( 3 x 220 ) / 660
GCD(3, 220) = 660 / 660
GCD(3, 220) = 1
GCD of 810, 786, 81, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 810, 786, 81, 220?
GCD of 810, 786, 81, 220 is 1
2. Where do I get the detailed procedure to find GCD of 810, 786, 81, 220?
You can find a detailed procedure to find GCD of 810, 786, 81, 220 on our page.
3. How to find GCD of 810, 786, 81, 220 on a calculator?
You can find the GCD of 810, 786, 81, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.