GCD of 899, 465, 28, 512 Calculator

Given Input numbers are 899, 465, 28, 512

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 899, 465, 28, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 465, 28, 512 is 1.

Therefore, GCD of numbers 899, 465, 28, 512 is 1

Given Input Data is 899, 465, 28, 512

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 28 is 2 x 2 x 7

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(899, 465) = 13485

GCD(899, 465) = ( 899 x 465 ) / 13485

GCD(899, 465) = 418035 / 13485

GCD(899, 465) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 28

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

LCM(31, 28) = 868

GCD(31, 28) = ( 31 x 28 ) / 868

GCD(31, 28) = 868 / 868

GCD(31, 28) = 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 899, 465, 28, 512 is 1

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• GCD of 714, 826, 18, 541
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1. What is the GCD of 899, 465, 28, 512?

GCD of 899, 465, 28, 512 is 1

2. Where do I get the detailed procedure to find GCD of 899, 465, 28, 512?

You can find a detailed procedure to find GCD of 899, 465, 28, 512 on our page.

3. How to find GCD of 899, 465, 28, 512 on a calculator?

You can find the GCD of 899, 465, 28, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.