GCD of 229, 629, 972, 465 Calculator

Given Input numbers are 229, 629, 972, 465

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 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 229, 629, 972, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 629, 972, 465 is 1.

Therefore, GCD of numbers 229, 629, 972, 465 is 1

Given Input Data is 229, 629, 972, 465

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

Prime Factorization of 229 is 229

Prime Factorization of 629 is 17 x 37

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 465 is 3 x 5 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, 629) = 144041

GCD(229, 629) = ( 229 x 629 ) / 144041

GCD(229, 629) = 144041 / 144041

GCD(229, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 229, 629, 972, 465 is 1

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1. What is the GCD of 229, 629, 972, 465?

GCD of 229, 629, 972, 465 is 1

2. Where do I get the detailed procedure to find GCD of 229, 629, 972, 465?

You can find a detailed procedure to find GCD of 229, 629, 972, 465 on our page.

3. How to find GCD of 229, 629, 972, 465 on a calculator?

You can find the GCD of 229, 629, 972, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.