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 112, 523, 162, 592 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 523, 162, 592 is 1
GCD(112, 523, 162, 592) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 523, 162, 592 is 1
GCD(112, 523, 162, 592) = 1
Given Input numbers are 112, 523, 162, 592
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Greatest Common Divisior
We found the divisors of 112, 523, 162, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 523, 162, 592 is 1.
Therefore, GCD of numbers 112, 523, 162, 592 is 1
Given Input Data is 112, 523, 162, 592
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 523 is 523
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 592 is 2 x 2 x 2 x 2 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(112, 523) = 58576
GCD(112, 523) = ( 112 x 523 ) / 58576
GCD(112, 523) = 58576 / 58576
GCD(112, 523) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 592
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 592) = 592
GCD(1, 592) = ( 1 x 592 ) / 592
GCD(1, 592) = 592 / 592
GCD(1, 592) = 1
GCD of 112, 523, 162, 592 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 523, 162, 592?
GCD of 112, 523, 162, 592 is 1
2. Where do I get the detailed procedure to find GCD of 112, 523, 162, 592?
You can find a detailed procedure to find GCD of 112, 523, 162, 592 on our page.
3. How to find GCD of 112, 523, 162, 592 on a calculator?
You can find the GCD of 112, 523, 162, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.