GCD of 219, 827, 20, 129 Calculator

Given Input numbers are 219, 827, 20, 129

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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 219, 827, 20, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 827, 20, 129 is 1.

Therefore, GCD of numbers 219, 827, 20, 129 is 1

Given Input Data is 219, 827, 20, 129

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 827 is 827

Prime Factorization of 20 is 2 x 2 x 5

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(219, 827) = 181113

GCD(219, 827) = ( 219 x 827 ) / 181113

GCD(219, 827) = 181113 / 181113

GCD(219, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 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 219, 827, 20, 129 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 228, 28, 539
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• GCD of 841, 677, 16, 904
• GCD of 746, 717, 67, 847
• GCD of 568, 193, 18, 805

1. What is the GCD of 219, 827, 20, 129?

GCD of 219, 827, 20, 129 is 1

2. Where do I get the detailed procedure to find GCD of 219, 827, 20, 129?

You can find a detailed procedure to find GCD of 219, 827, 20, 129 on our page.

3. How to find GCD of 219, 827, 20, 129 on a calculator?

You can find the GCD of 219, 827, 20, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.