GCD of 144, 511, 218, 129 Calculator

Given Input numbers are 144, 511, 218, 129

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 144, 511, 218, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 511, 218, 129 is 1.

Therefore, GCD of numbers 144, 511, 218, 129 is 1

Given Input Data is 144, 511, 218, 129

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 511 is 7 x 73

Prime Factorization of 218 is 2 x 109

Prime Factorization of 129 is 3 x 43

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(144, 511) = 73584

GCD(144, 511) = ( 144 x 511 ) / 73584

GCD(144, 511) = 73584 / 73584

GCD(144, 511) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 144, 511, 218, 129 is 1

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• GCD of 535, 431, 505, 782
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1. What is the GCD of 144, 511, 218, 129?

GCD of 144, 511, 218, 129 is 1

2. Where do I get the detailed procedure to find GCD of 144, 511, 218, 129?

You can find a detailed procedure to find GCD of 144, 511, 218, 129 on our page.

3. How to find GCD of 144, 511, 218, 129 on a calculator?

You can find the GCD of 144, 511, 218, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.