GCD of 692, 521, 20, 189 Calculator

Given Input numbers are 692, 521, 20, 189

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

Divisors of 692

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

1, 2, 4, 173, 346, 692

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 189

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

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

Greatest Common Divisior

We found the divisors of 692, 521, 20, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 521, 20, 189 is 1.

Therefore, GCD of numbers 692, 521, 20, 189 is 1

Given Input Data is 692, 521, 20, 189

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 521 is 521

Prime Factorization of 20 is 2 x 2 x 5

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

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(692, 521) = 360532

GCD(692, 521) = ( 692 x 521 ) / 360532

GCD(692, 521) = 360532 / 360532

GCD(692, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 692, 521, 20, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 143, 50, 972
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1. What is the GCD of 692, 521, 20, 189?

GCD of 692, 521, 20, 189 is 1

2. Where do I get the detailed procedure to find GCD of 692, 521, 20, 189?

You can find a detailed procedure to find GCD of 692, 521, 20, 189 on our page.

3. How to find GCD of 692, 521, 20, 189 on a calculator?

You can find the GCD of 692, 521, 20, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.