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 96, 210, 462, 571 i.e. 1 largest integer that divides all the numbers equally.
GCD of 96, 210, 462, 571 is 1
GCD(96, 210, 462, 571) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 210, 462, 571 is 1
GCD(96, 210, 462, 571) = 1
Given Input numbers are 96, 210, 462, 571
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Greatest Common Divisior
We found the divisors of 96, 210, 462, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 210, 462, 571 is 1.
Therefore, GCD of numbers 96, 210, 462, 571 is 1
Given Input Data is 96, 210, 462, 571
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 571 is 571
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(96, 210) = 3360
GCD(96, 210) = ( 96 x 210 ) / 3360
GCD(96, 210) = 20160 / 3360
GCD(96, 210) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 462) = 462
GCD(6, 462) = ( 6 x 462 ) / 462
GCD(6, 462) = 2772 / 462
GCD(6, 462) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 571
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 571) = 3426
GCD(6, 571) = ( 6 x 571 ) / 3426
GCD(6, 571) = 3426 / 3426
GCD(6, 571) = 1
GCD of 96, 210, 462, 571 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 210, 462, 571?
GCD of 96, 210, 462, 571 is 1
2. Where do I get the detailed procedure to find GCD of 96, 210, 462, 571?
You can find a detailed procedure to find GCD of 96, 210, 462, 571 on our page.
3. How to find GCD of 96, 210, 462, 571 on a calculator?
You can find the GCD of 96, 210, 462, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.