GCD of 523, 699, 640, 356 Calculator

Given Input numbers are 523, 699, 640, 356

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 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 356

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

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 523, 699, 640, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 699, 640, 356 is 1.

Therefore, GCD of numbers 523, 699, 640, 356 is 1

Given Input Data is 523, 699, 640, 356

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

Prime Factorization of 523 is 523

Prime Factorization of 699 is 3 x 233

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 356 is 2 x 2 x 89

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, 699) = 365577

GCD(523, 699) = ( 523 x 699 ) / 365577

GCD(523, 699) = 365577 / 365577

GCD(523, 699) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 523, 699, 640, 356 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 751, 123, 615, 360
• GCD of 699, 360, 629, 176
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• GCD of 651, 114, 369, 527

1. What is the GCD of 523, 699, 640, 356?

GCD of 523, 699, 640, 356 is 1

2. Where do I get the detailed procedure to find GCD of 523, 699, 640, 356?

You can find a detailed procedure to find GCD of 523, 699, 640, 356 on our page.

3. How to find GCD of 523, 699, 640, 356 on a calculator?

You can find the GCD of 523, 699, 640, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.