GCD of 229, 992, 460 Calculator

Given Input numbers are 229, 992, 460

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 229, 992, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 992, 460 is 1.

Therefore, GCD of numbers 229, 992, 460 is 1

Given Input Data is 229, 992, 460

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

Prime Factorization of 229 is 229

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 460 is 2 x 2 x 5 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(229, 992) = 227168

GCD(229, 992) = ( 229 x 992 ) / 227168

GCD(229, 992) = 227168 / 227168

GCD(229, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 229, 992, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 128, 209
• GCD of 507, 652, 358
• GCD of 639, 779, 731
• GCD of 521, 706, 386
• GCD of 401, 234, 143

1. What is the GCD of 229, 992, 460?

GCD of 229, 992, 460 is 1

2. Where do I get the detailed procedure to find GCD of 229, 992, 460?

You can find a detailed procedure to find GCD of 229, 992, 460 on our page.

3. How to find GCD of 229, 992, 460 on a calculator?

You can find the GCD of 229, 992, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.