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 176, 561, 326, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 176, 561, 326, 629 is 1
GCD(176, 561, 326, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 176, 561, 326, 629 is 1
GCD(176, 561, 326, 629) = 1
Given Input numbers are 176, 561, 326, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 176, 561, 326, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 561, 326, 629 is 1.
Therefore, GCD of numbers 176, 561, 326, 629 is 1
Given Input Data is 176, 561, 326, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 326 is 2 x 163
Prime Factorization of 629 is 17 x 37
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(176, 561) = 8976
GCD(176, 561) = ( 176 x 561 ) / 8976
GCD(176, 561) = 98736 / 8976
GCD(176, 561) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 326) = 3586
GCD(11, 326) = ( 11 x 326 ) / 3586
GCD(11, 326) = 3586 / 3586
GCD(11, 326) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
GCD of 176, 561, 326, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 176, 561, 326, 629?
GCD of 176, 561, 326, 629 is 1
2. Where do I get the detailed procedure to find GCD of 176, 561, 326, 629?
You can find a detailed procedure to find GCD of 176, 561, 326, 629 on our page.
3. How to find GCD of 176, 561, 326, 629 on a calculator?
You can find the GCD of 176, 561, 326, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.