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, 492, 59, 143 i.e. 1 largest integer that divides all the numbers equally.
GCD of 810, 492, 59, 143 is 1
GCD(810, 492, 59, 143) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 492, 59, 143 is 1
GCD(810, 492, 59, 143) = 1
Given Input numbers are 810, 492, 59, 143
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 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Greatest Common Divisior
We found the divisors of 810, 492, 59, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 492, 59, 143 is 1.
Therefore, GCD of numbers 810, 492, 59, 143 is 1
Given Input Data is 810, 492, 59, 143
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 492 is 2 x 2 x 3 x 41
Prime Factorization of 59 is 59
Prime Factorization of 143 is 11 x 13
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, 492) = 66420
GCD(810, 492) = ( 810 x 492 ) / 66420
GCD(810, 492) = 398520 / 66420
GCD(810, 492) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 59) = 354
GCD(6, 59) = ( 6 x 59 ) / 354
GCD(6, 59) = 354 / 354
GCD(6, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
GCD of 810, 492, 59, 143 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 810, 492, 59, 143?
GCD of 810, 492, 59, 143 is 1
2. Where do I get the detailed procedure to find GCD of 810, 492, 59, 143?
You can find a detailed procedure to find GCD of 810, 492, 59, 143 on our page.
3. How to find GCD of 810, 492, 59, 143 on a calculator?
You can find the GCD of 810, 492, 59, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.