GCD of 123, 356, 523, 204 Calculator

Given Input numbers are 123, 356, 523, 204

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 123, 356, 523, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 356, 523, 204 is 1.

Therefore, GCD of numbers 123, 356, 523, 204 is 1

Given Input Data is 123, 356, 523, 204

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 523 is 523

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(123, 356) = 43788

GCD(123, 356) = ( 123 x 356 ) / 43788

GCD(123, 356) = 43788 / 43788

GCD(123, 356) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 123, 356, 523, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 826, 204, 333
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• GCD of 591, 694, 883, 677
• GCD of 421, 447, 818, 581

1. What is the GCD of 123, 356, 523, 204?

GCD of 123, 356, 523, 204 is 1

2. Where do I get the detailed procedure to find GCD of 123, 356, 523, 204?

You can find a detailed procedure to find GCD of 123, 356, 523, 204 on our page.

3. How to find GCD of 123, 356, 523, 204 on a calculator?

You can find the GCD of 123, 356, 523, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.