GCD of 392, 234, 52, 169 Calculator

Given Input numbers are 392, 234, 52, 169

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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 392, 234, 52, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 234, 52, 169 is 1.

Therefore, GCD of numbers 392, 234, 52, 169 is 1

Given Input Data is 392, 234, 52, 169

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 234 is 2 x 3 x 3 x 13

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(392, 234) = 45864

GCD(392, 234) = ( 392 x 234 ) / 45864

GCD(392, 234) = 91728 / 45864

GCD(392, 234) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

GCD of 392, 234, 52, 169 is 1

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1. What is the GCD of 392, 234, 52, 169?

GCD of 392, 234, 52, 169 is 1

2. Where do I get the detailed procedure to find GCD of 392, 234, 52, 169?

You can find a detailed procedure to find GCD of 392, 234, 52, 169 on our page.

3. How to find GCD of 392, 234, 52, 169 on a calculator?

You can find the GCD of 392, 234, 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.