GCD of 649, 853, 449, 522 Calculator

Given Input numbers are 649, 853, 449, 522

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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 649, 853, 449, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 853, 449, 522 is 1.

Therefore, GCD of numbers 649, 853, 449, 522 is 1

Given Input Data is 649, 853, 449, 522

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 853 is 853

Prime Factorization of 449 is 449

Prime Factorization of 522 is 2 x 3 x 3 x 29

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(649, 853) = 553597

GCD(649, 853) = ( 649 x 853 ) / 553597

GCD(649, 853) = 553597 / 553597

GCD(649, 853) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 649, 853, 449, 522 is 1

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• GCD of 876, 844, 806, 988
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1. What is the GCD of 649, 853, 449, 522?

GCD of 649, 853, 449, 522 is 1

2. Where do I get the detailed procedure to find GCD of 649, 853, 449, 522?

You can find a detailed procedure to find GCD of 649, 853, 449, 522 on our page.

3. How to find GCD of 649, 853, 449, 522 on a calculator?

You can find the GCD of 649, 853, 449, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.