GCD of 664, 697, 513, 821 Calculator

Given Input numbers are 664, 697, 513, 821

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 664, 697, 513, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 697, 513, 821 is 1.

Therefore, GCD of numbers 664, 697, 513, 821 is 1

Given Input Data is 664, 697, 513, 821

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 697 is 17 x 41

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 821 is 821

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(664, 697) = 462808

GCD(664, 697) = ( 664 x 697 ) / 462808

GCD(664, 697) = 462808 / 462808

GCD(664, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 664, 697, 513, 821 is 1

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• GCD of 588, 117, 591, 300
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1. What is the GCD of 664, 697, 513, 821?

GCD of 664, 697, 513, 821 is 1

2. Where do I get the detailed procedure to find GCD of 664, 697, 513, 821?

You can find a detailed procedure to find GCD of 664, 697, 513, 821 on our page.

3. How to find GCD of 664, 697, 513, 821 on a calculator?

You can find the GCD of 664, 697, 513, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.