GCD of 595, 189, 692, 128 Calculator

Given Input numbers are 595, 189, 692, 128

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

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 595, 189, 692, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 189, 692, 128 is 1.

Therefore, GCD of numbers 595, 189, 692, 128 is 1

Given Input Data is 595, 189, 692, 128

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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(595, 189) = 16065

GCD(595, 189) = ( 595 x 189 ) / 16065

GCD(595, 189) = 112455 / 16065

GCD(595, 189) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 692

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

LCM(7, 692) = 4844

GCD(7, 692) = ( 7 x 692 ) / 4844

GCD(7, 692) = 4844 / 4844

GCD(7, 692) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

GCD of 595, 189, 692, 128 is 1

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1. What is the GCD of 595, 189, 692, 128?

GCD of 595, 189, 692, 128 is 1

2. Where do I get the detailed procedure to find GCD of 595, 189, 692, 128?

You can find a detailed procedure to find GCD of 595, 189, 692, 128 on our page.

3. How to find GCD of 595, 189, 692, 128 on a calculator?

You can find the GCD of 595, 189, 692, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.