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 162, 465, 125, 557 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 465, 125, 557 is 1
GCD(162, 465, 125, 557) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 465, 125, 557 is 1
GCD(162, 465, 125, 557) = 1
Given Input numbers are 162, 465, 125, 557
To find the GCD of numbers using factoring list out all the divisors of each number
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 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Greatest Common Divisior
We found the divisors of 162, 465, 125, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 465, 125, 557 is 1.
Therefore, GCD of numbers 162, 465, 125, 557 is 1
Given Input Data is 162, 465, 125, 557
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 557 is 557
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(162, 465) = 25110
GCD(162, 465) = ( 162 x 465 ) / 25110
GCD(162, 465) = 75330 / 25110
GCD(162, 465) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 125) = 375
GCD(3, 125) = ( 3 x 125 ) / 375
GCD(3, 125) = 375 / 375
GCD(3, 125) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 557
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 557) = 557
GCD(1, 557) = ( 1 x 557 ) / 557
GCD(1, 557) = 557 / 557
GCD(1, 557) = 1
GCD of 162, 465, 125, 557 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 465, 125, 557?
GCD of 162, 465, 125, 557 is 1
2. Where do I get the detailed procedure to find GCD of 162, 465, 125, 557?
You can find a detailed procedure to find GCD of 162, 465, 125, 557 on our page.
3. How to find GCD of 162, 465, 125, 557 on a calculator?
You can find the GCD of 162, 465, 125, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.