GCD of 358, 288, 16, 415 Calculator

Given Input numbers are 358, 288, 16, 415

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 358, 288, 16, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 288, 16, 415 is 1.

Therefore, GCD of numbers 358, 288, 16, 415 is 1

Given Input Data is 358, 288, 16, 415

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 415 is 5 x 83

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(358, 288) = 51552

GCD(358, 288) = ( 358 x 288 ) / 51552

GCD(358, 288) = 103104 / 51552

GCD(358, 288) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 415

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

LCM(2, 415) = 830

GCD(2, 415) = ( 2 x 415 ) / 830

GCD(2, 415) = 830 / 830

GCD(2, 415) = 1

GCD of 358, 288, 16, 415 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 271, 15, 341
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• GCD of 173, 270, 37, 720
• GCD of 830, 143, 90, 640

1. What is the GCD of 358, 288, 16, 415?

GCD of 358, 288, 16, 415 is 1

2. Where do I get the detailed procedure to find GCD of 358, 288, 16, 415?

You can find a detailed procedure to find GCD of 358, 288, 16, 415 on our page.

3. How to find GCD of 358, 288, 16, 415 on a calculator?

You can find the GCD of 358, 288, 16, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.