GCD of 219, 423, 977, 233 Calculator

Given Input numbers are 219, 423, 977, 233

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Greatest Common Divisior

We found the divisors of 219, 423, 977, 233 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 423, 977, 233 is 1.

Therefore, GCD of numbers 219, 423, 977, 233 is 1

Given Input Data is 219, 423, 977, 233

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 977 is 977

Prime Factorization of 233 is 233

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, 423) = 30879

GCD(219, 423) = ( 219 x 423 ) / 30879

GCD(219, 423) = 92637 / 30879

GCD(219, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 977

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

LCM(3, 977) = 2931

GCD(3, 977) = ( 3 x 977 ) / 2931

GCD(3, 977) = 2931 / 2931

GCD(3, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 233

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

LCM(1, 233) = 233

GCD(1, 233) = ( 1 x 233 ) / 233

GCD(1, 233) = 233 / 233

GCD(1, 233) = 1

GCD of 219, 423, 977, 233 is 1

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• GCD of 203, 592, 721, 715
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1. What is the GCD of 219, 423, 977, 233?

GCD of 219, 423, 977, 233 is 1

2. Where do I get the detailed procedure to find GCD of 219, 423, 977, 233?

You can find a detailed procedure to find GCD of 219, 423, 977, 233 on our page.

3. How to find GCD of 219, 423, 977, 233 on a calculator?

You can find the GCD of 219, 423, 977, 233 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.