GCD of 219, 158, 729, 253 Calculator

Given Input numbers are 219, 158, 729, 253

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 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 219, 158, 729, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 158, 729, 253 is 1.

Therefore, GCD of numbers 219, 158, 729, 253 is 1

Given Input Data is 219, 158, 729, 253

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 158 is 2 x 79

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 253 is 11 x 23

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, 158) = 34602

GCD(219, 158) = ( 219 x 158 ) / 34602

GCD(219, 158) = 34602 / 34602

GCD(219, 158) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 219, 158, 729, 253 is 1

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1. What is the GCD of 219, 158, 729, 253?

GCD of 219, 158, 729, 253 is 1

2. Where do I get the detailed procedure to find GCD of 219, 158, 729, 253?

You can find a detailed procedure to find GCD of 219, 158, 729, 253 on our page.

3. How to find GCD of 219, 158, 729, 253 on a calculator?

You can find the GCD of 219, 158, 729, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.