GCD of 369, 996, 52, 169 Calculator

Given Input numbers are 369, 996, 52, 169

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 369, 996, 52, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 996, 52, 169 is 1.

Therefore, GCD of numbers 369, 996, 52, 169 is 1

Given Input Data is 369, 996, 52, 169

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 169 is 13 x 13

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(369, 996) = 122508

GCD(369, 996) = ( 369 x 996 ) / 122508

GCD(369, 996) = 367524 / 122508

GCD(369, 996) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 52

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 52) = 156

GCD(3, 52) = ( 3 x 52 ) / 156

GCD(3, 52) = 156 / 156

GCD(3, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 369, 996, 52, 169 is 1

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1. What is the GCD of 369, 996, 52, 169?

GCD of 369, 996, 52, 169 is 1

2. Where do I get the detailed procedure to find GCD of 369, 996, 52, 169?

You can find a detailed procedure to find GCD of 369, 996, 52, 169 on our page.

3. How to find GCD of 369, 996, 52, 169 on a calculator?

You can find the GCD of 369, 996, 52, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.