GCD of 229, 900, 67, 589 Calculator

Given Input numbers are 229, 900, 67, 589

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 229, 900, 67, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 900, 67, 589 is 1.

Therefore, GCD of numbers 229, 900, 67, 589 is 1

Given Input Data is 229, 900, 67, 589

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

Prime Factorization of 229 is 229

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 67 is 67

Prime Factorization of 589 is 19 x 31

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(229, 900) = 206100

GCD(229, 900) = ( 229 x 900 ) / 206100

GCD(229, 900) = 206100 / 206100

GCD(229, 900) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 229, 900, 67, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 285, 29, 150
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• GCD of 259, 946, 14, 952
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• GCD of 560, 351, 32, 523

1. What is the GCD of 229, 900, 67, 589?

GCD of 229, 900, 67, 589 is 1

2. Where do I get the detailed procedure to find GCD of 229, 900, 67, 589?

You can find a detailed procedure to find GCD of 229, 900, 67, 589 on our page.

3. How to find GCD of 229, 900, 67, 589 on a calculator?

You can find the GCD of 229, 900, 67, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.