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, 422, 151, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 810, 422, 151, 720 is 1
GCD(810, 422, 151, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 422, 151, 720 is 1
GCD(810, 422, 151, 720) = 1
Given Input numbers are 810, 422, 151, 720
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 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Greatest Common Divisior
We found the divisors of 810, 422, 151, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 422, 151, 720 is 1.
Therefore, GCD of numbers 810, 422, 151, 720 is 1
Given Input Data is 810, 422, 151, 720
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 422 is 2 x 211
Prime Factorization of 151 is 151
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
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, 422) = 170910
GCD(810, 422) = ( 810 x 422 ) / 170910
GCD(810, 422) = 341820 / 170910
GCD(810, 422) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 151) = 302
GCD(2, 151) = ( 2 x 151 ) / 302
GCD(2, 151) = 302 / 302
GCD(2, 151) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 810, 422, 151, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 810, 422, 151, 720?
GCD of 810, 422, 151, 720 is 1
2. Where do I get the detailed procedure to find GCD of 810, 422, 151, 720?
You can find a detailed procedure to find GCD of 810, 422, 151, 720 on our page.
3. How to find GCD of 810, 422, 151, 720 on a calculator?
You can find the GCD of 810, 422, 151, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.