GCD of 851, 771, 53, 512 Calculator

Given Input numbers are 851, 771, 53, 512

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

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 53

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

1, 53

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

Greatest Common Divisior

We found the divisors of 851, 771, 53, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 771, 53, 512 is 1.

Therefore, GCD of numbers 851, 771, 53, 512 is 1

Given Input Data is 851, 771, 53, 512

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

Prime Factorization of 851 is 23 x 37

Prime Factorization of 771 is 3 x 257

Prime Factorization of 53 is 53

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

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(851, 771) = 656121

GCD(851, 771) = ( 851 x 771 ) / 656121

GCD(851, 771) = 656121 / 656121

GCD(851, 771) = 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 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

GCD of 851, 771, 53, 512 is 1

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1. What is the GCD of 851, 771, 53, 512?

GCD of 851, 771, 53, 512 is 1

2. Where do I get the detailed procedure to find GCD of 851, 771, 53, 512?

You can find a detailed procedure to find GCD of 851, 771, 53, 512 on our page.

3. How to find GCD of 851, 771, 53, 512 on a calculator?

You can find the GCD of 851, 771, 53, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.