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 423, 162, 652, 359 i.e. 1 largest integer that divides all the numbers equally.
GCD of 423, 162, 652, 359 is 1
GCD(423, 162, 652, 359) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 423, 162, 652, 359 is 1
GCD(423, 162, 652, 359) = 1
Given Input numbers are 423, 162, 652, 359
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
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 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Greatest Common Divisior
We found the divisors of 423, 162, 652, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 162, 652, 359 is 1.
Therefore, GCD of numbers 423, 162, 652, 359 is 1
Given Input Data is 423, 162, 652, 359
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 359 is 359
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(423, 162) = 7614
GCD(423, 162) = ( 423 x 162 ) / 7614
GCD(423, 162) = 68526 / 7614
GCD(423, 162) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 652) = 5868
GCD(9, 652) = ( 9 x 652 ) / 5868
GCD(9, 652) = 5868 / 5868
GCD(9, 652) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
GCD of 423, 162, 652, 359 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 423, 162, 652, 359?
GCD of 423, 162, 652, 359 is 1
2. Where do I get the detailed procedure to find GCD of 423, 162, 652, 359?
You can find a detailed procedure to find GCD of 423, 162, 652, 359 on our page.
3. How to find GCD of 423, 162, 652, 359 on a calculator?
You can find the GCD of 423, 162, 652, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.