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, 646, 753, 556 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 646, 753, 556 is 1
GCD(162, 646, 753, 556) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 646, 753, 556 is 1
GCD(162, 646, 753, 556) = 1
Given Input numbers are 162, 646, 753, 556
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 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Greatest Common Divisior
We found the divisors of 162, 646, 753, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 646, 753, 556 is 1.
Therefore, GCD of numbers 162, 646, 753, 556 is 1
Given Input Data is 162, 646, 753, 556
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 646 is 2 x 17 x 19
Prime Factorization of 753 is 3 x 251
Prime Factorization of 556 is 2 x 2 x 139
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, 646) = 52326
GCD(162, 646) = ( 162 x 646 ) / 52326
GCD(162, 646) = 104652 / 52326
GCD(162, 646) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 753) = 1506
GCD(2, 753) = ( 2 x 753 ) / 1506
GCD(2, 753) = 1506 / 1506
GCD(2, 753) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 556
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 556) = 556
GCD(1, 556) = ( 1 x 556 ) / 556
GCD(1, 556) = 556 / 556
GCD(1, 556) = 1
GCD of 162, 646, 753, 556 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 646, 753, 556?
GCD of 162, 646, 753, 556 is 1
2. Where do I get the detailed procedure to find GCD of 162, 646, 753, 556?
You can find a detailed procedure to find GCD of 162, 646, 753, 556 on our page.
3. How to find GCD of 162, 646, 753, 556 on a calculator?
You can find the GCD of 162, 646, 753, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.