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 722, 523, 164, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 722, 523, 164, 536 is 1
GCD(722, 523, 164, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 722, 523, 164, 536 is 1
GCD(722, 523, 164, 536) = 1
Given Input numbers are 722, 523, 164, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 722, 523, 164, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 523, 164, 536 is 1.
Therefore, GCD of numbers 722, 523, 164, 536 is 1
Given Input Data is 722, 523, 164, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 523 is 523
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 536 is 2 x 2 x 2 x 67
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(722, 523) = 377606
GCD(722, 523) = ( 722 x 523 ) / 377606
GCD(722, 523) = 377606 / 377606
GCD(722, 523) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 164
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
GCD(1, 164) = 164 / 164
GCD(1, 164) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
GCD(1, 536) = 536 / 536
GCD(1, 536) = 1
GCD of 722, 523, 164, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 722, 523, 164, 536?
GCD of 722, 523, 164, 536 is 1
2. Where do I get the detailed procedure to find GCD of 722, 523, 164, 536?
You can find a detailed procedure to find GCD of 722, 523, 164, 536 on our page.
3. How to find GCD of 722, 523, 164, 536 on a calculator?
You can find the GCD of 722, 523, 164, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.