GCD of 460, 649, 53, 522 Calculator

Given Input numbers are 460, 649, 53, 522

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 649

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

1, 11, 59, 649

Divisors of 53

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

1, 53

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 460, 649, 53, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 649, 53, 522 is 1.

Therefore, GCD of numbers 460, 649, 53, 522 is 1

Given Input Data is 460, 649, 53, 522

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 649 is 11 x 59

Prime Factorization of 53 is 53

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(460, 649) = 298540

GCD(460, 649) = ( 460 x 649 ) / 298540

GCD(460, 649) = 298540 / 298540

GCD(460, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 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 460, 649, 53, 522 is 1

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• GCD of 414, 165, 98, 108
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• GCD of 843, 546, 10, 826

1. What is the GCD of 460, 649, 53, 522?

GCD of 460, 649, 53, 522 is 1

2. Where do I get the detailed procedure to find GCD of 460, 649, 53, 522?

You can find a detailed procedure to find GCD of 460, 649, 53, 522 on our page.

3. How to find GCD of 460, 649, 53, 522 on a calculator?

You can find the GCD of 460, 649, 53, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.