GCD of 828, 295, 607, 512 Calculator

Given Input numbers are 828, 295, 607, 512

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

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 828, 295, 607, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 295, 607, 512 is 1.

Therefore, GCD of numbers 828, 295, 607, 512 is 1

Given Input Data is 828, 295, 607, 512

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 295 is 5 x 59

Prime Factorization of 607 is 607

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(828, 295) = 244260

GCD(828, 295) = ( 828 x 295 ) / 244260

GCD(828, 295) = 244260 / 244260

GCD(828, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 607

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

LCM(1, 607) = 607

GCD(1, 607) = ( 1 x 607 ) / 607

GCD(1, 607) = 607 / 607

GCD(1, 607) = 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 828, 295, 607, 512 is 1

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1. What is the GCD of 828, 295, 607, 512?

GCD of 828, 295, 607, 512 is 1

2. Where do I get the detailed procedure to find GCD of 828, 295, 607, 512?

You can find a detailed procedure to find GCD of 828, 295, 607, 512 on our page.

3. How to find GCD of 828, 295, 607, 512 on a calculator?

You can find the GCD of 828, 295, 607, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.