GCD of 53, 511, 512, 802 Calculator

Given Input numbers are 53, 511, 512, 802

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 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

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 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 53, 511, 512, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 511, 512, 802 is 1.

Therefore, GCD of numbers 53, 511, 512, 802 is 1

Given Input Data is 53, 511, 512, 802

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

Prime Factorization of 53 is 53

Prime Factorization of 511 is 7 x 73

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 802 is 2 x 401

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, 511) = 27083

GCD(53, 511) = ( 53 x 511 ) / 27083

GCD(53, 511) = 27083 / 27083

GCD(53, 511) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 53, 511, 512, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 112, 450, 413
• GCD of 31, 554, 967, 929
• GCD of 78, 151, 411, 551
• GCD of 93, 597, 739, 852
• GCD of 94, 167, 785, 297

1. What is the GCD of 53, 511, 512, 802?

GCD of 53, 511, 512, 802 is 1

2. Where do I get the detailed procedure to find GCD of 53, 511, 512, 802?

You can find a detailed procedure to find GCD of 53, 511, 512, 802 on our page.

3. How to find GCD of 53, 511, 512, 802 on a calculator?

You can find the GCD of 53, 511, 512, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.