GCD of 205, 824, 463, 675 Calculator

Given Input numbers are 205, 824, 463, 675

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 205, 824, 463, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 824, 463, 675 is 1.

Therefore, GCD of numbers 205, 824, 463, 675 is 1

Given Input Data is 205, 824, 463, 675

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 463 is 463

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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(205, 824) = 168920

GCD(205, 824) = ( 205 x 824 ) / 168920

GCD(205, 824) = 168920 / 168920

GCD(205, 824) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 205, 824, 463, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 579, 328, 468
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• GCD of 701, 482, 541, 870
• GCD of 204, 520, 539, 858
• GCD of 275, 231, 188, 635

1. What is the GCD of 205, 824, 463, 675?

GCD of 205, 824, 463, 675 is 1

2. Where do I get the detailed procedure to find GCD of 205, 824, 463, 675?

You can find a detailed procedure to find GCD of 205, 824, 463, 675 on our page.

3. How to find GCD of 205, 824, 463, 675 on a calculator?

You can find the GCD of 205, 824, 463, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.