GCD of 523, 133, 691, 688 Calculator

Given Input numbers are 523, 133, 691, 688

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

Divisors of 523

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

1, 523

Divisors of 133

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

1, 7, 19, 133

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 523, 133, 691, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 133, 691, 688 is 1.

Therefore, GCD of numbers 523, 133, 691, 688 is 1

Given Input Data is 523, 133, 691, 688

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

Prime Factorization of 523 is 523

Prime Factorization of 133 is 7 x 19

Prime Factorization of 691 is 691

Prime Factorization of 688 is 2 x 2 x 2 x 2 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(523, 133) = 69559

GCD(523, 133) = ( 523 x 133 ) / 69559

GCD(523, 133) = 69559 / 69559

GCD(523, 133) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 523, 133, 691, 688 is 1

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• GCD of 776, 854, 151, 671
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1. What is the GCD of 523, 133, 691, 688?

GCD of 523, 133, 691, 688 is 1

2. Where do I get the detailed procedure to find GCD of 523, 133, 691, 688?

You can find a detailed procedure to find GCD of 523, 133, 691, 688 on our page.

3. How to find GCD of 523, 133, 691, 688 on a calculator?

You can find the GCD of 523, 133, 691, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.