GCD of 133, 362, 523, 543 Calculator

Given Input numbers are 133, 362, 523, 543

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 523

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

1, 523

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 133, 362, 523, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 362, 523, 543 is 1.

Therefore, GCD of numbers 133, 362, 523, 543 is 1

Given Input Data is 133, 362, 523, 543

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 362 is 2 x 181

Prime Factorization of 523 is 523

Prime Factorization of 543 is 3 x 181

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(133, 362) = 48146

GCD(133, 362) = ( 133 x 362 ) / 48146

GCD(133, 362) = 48146 / 48146

GCD(133, 362) = 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 543

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

LCM(1, 543) = 543

GCD(1, 543) = ( 1 x 543 ) / 543

GCD(1, 543) = 543 / 543

GCD(1, 543) = 1

GCD of 133, 362, 523, 543 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 164, 157, 896
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• GCD of 952, 684, 520, 779
• GCD of 622, 184, 998, 865

1. What is the GCD of 133, 362, 523, 543?

GCD of 133, 362, 523, 543 is 1

2. Where do I get the detailed procedure to find GCD of 133, 362, 523, 543?

You can find a detailed procedure to find GCD of 133, 362, 523, 543 on our page.

3. How to find GCD of 133, 362, 523, 543 on a calculator?

You can find the GCD of 133, 362, 523, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.