GCD of 189, 408, 503, 774 Calculator

Given Input numbers are 189, 408, 503, 774

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

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 189, 408, 503, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 408, 503, 774 is 1.

Therefore, GCD of numbers 189, 408, 503, 774 is 1

Given Input Data is 189, 408, 503, 774

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

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 503 is 503

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(189, 408) = 25704

GCD(189, 408) = ( 189 x 408 ) / 25704

GCD(189, 408) = 77112 / 25704

GCD(189, 408) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 503

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

LCM(3, 503) = 1509

GCD(3, 503) = ( 3 x 503 ) / 1509

GCD(3, 503) = 1509 / 1509

GCD(3, 503) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 189, 408, 503, 774 is 1

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• GCD of 905, 639, 666, 368
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• GCD of 703, 416, 137, 667

1. What is the GCD of 189, 408, 503, 774?

GCD of 189, 408, 503, 774 is 1

2. Where do I get the detailed procedure to find GCD of 189, 408, 503, 774?

You can find a detailed procedure to find GCD of 189, 408, 503, 774 on our page.

3. How to find GCD of 189, 408, 503, 774 on a calculator?

You can find the GCD of 189, 408, 503, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.