GCD of 576, 535, 205, 967 Calculator

Given Input numbers are 576, 535, 205, 967

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 205

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

1, 5, 41, 205

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 576, 535, 205, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 535, 205, 967 is 1.

Therefore, GCD of numbers 576, 535, 205, 967 is 1

Given Input Data is 576, 535, 205, 967

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 535 is 5 x 107

Prime Factorization of 205 is 5 x 41

Prime Factorization of 967 is 967

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(576, 535) = 308160

GCD(576, 535) = ( 576 x 535 ) / 308160

GCD(576, 535) = 308160 / 308160

GCD(576, 535) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 576, 535, 205, 967 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 305, 139, 743
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• GCD of 688, 202, 729, 843
• GCD of 237, 515, 226, 484

1. What is the GCD of 576, 535, 205, 967?

GCD of 576, 535, 205, 967 is 1

2. Where do I get the detailed procedure to find GCD of 576, 535, 205, 967?

You can find a detailed procedure to find GCD of 576, 535, 205, 967 on our page.

3. How to find GCD of 576, 535, 205, 967 on a calculator?

You can find the GCD of 576, 535, 205, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.