GCD of 529, 756, 688, 423 Calculator

Given Input numbers are 529, 756, 688, 423

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

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 529, 756, 688, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 756, 688, 423 is 1.

Therefore, GCD of numbers 529, 756, 688, 423 is 1

Given Input Data is 529, 756, 688, 423

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

Prime Factorization of 529 is 23 x 23

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 423 is 3 x 3 x 47

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(529, 756) = 399924

GCD(529, 756) = ( 529 x 756 ) / 399924

GCD(529, 756) = 399924 / 399924

GCD(529, 756) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1

GCD of 529, 756, 688, 423 is 1

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1. What is the GCD of 529, 756, 688, 423?

GCD of 529, 756, 688, 423 is 1

2. Where do I get the detailed procedure to find GCD of 529, 756, 688, 423?

You can find a detailed procedure to find GCD of 529, 756, 688, 423 on our page.

3. How to find GCD of 529, 756, 688, 423 on a calculator?

You can find the GCD of 529, 756, 688, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.