GCD of 53, 324, 588, 690 Calculator

Given Input numbers are 53, 324, 588, 690

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 53, 324, 588, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 324, 588, 690 is 1.

Therefore, GCD of numbers 53, 324, 588, 690 is 1

Given Input Data is 53, 324, 588, 690

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

Prime Factorization of 53 is 53

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(53, 324) = 17172

GCD(53, 324) = ( 53 x 324 ) / 17172

GCD(53, 324) = 17172 / 17172

GCD(53, 324) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 53, 324, 588, 690 is 1

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1. What is the GCD of 53, 324, 588, 690?

GCD of 53, 324, 588, 690 is 1

2. Where do I get the detailed procedure to find GCD of 53, 324, 588, 690?

You can find a detailed procedure to find GCD of 53, 324, 588, 690 on our page.

3. How to find GCD of 53, 324, 588, 690 on a calculator?

You can find the GCD of 53, 324, 588, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.