GCD of 512, 640, 649, 827 Calculator

Given Input numbers are 512, 640, 649, 827

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 649

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

1, 11, 59, 649

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 512, 640, 649, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 640, 649, 827 is 1.

Therefore, GCD of numbers 512, 640, 649, 827 is 1

Given Input Data is 512, 640, 649, 827

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 649 is 11 x 59

Prime Factorization of 827 is 827

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(512, 640) = 2560

GCD(512, 640) = ( 512 x 640 ) / 2560

GCD(512, 640) = 327680 / 2560

GCD(512, 640) = 128

Step2:

Here we consider the GCD from the above i.e. 128 as first number and the next as 649

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

LCM(128, 649) = 83072

GCD(128, 649) = ( 128 x 649 ) / 83072

GCD(128, 649) = 83072 / 83072

GCD(128, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 512, 640, 649, 827 is 1

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1. What is the GCD of 512, 640, 649, 827?

GCD of 512, 640, 649, 827 is 1

2. Where do I get the detailed procedure to find GCD of 512, 640, 649, 827?

You can find a detailed procedure to find GCD of 512, 640, 649, 827 on our page.

3. How to find GCD of 512, 640, 649, 827 on a calculator?

You can find the GCD of 512, 640, 649, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.