GCD of 416, 659, 20, 392 Calculator

Given Input numbers are 416, 659, 20, 392

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 416, 659, 20, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 659, 20, 392 is 1.

Therefore, GCD of numbers 416, 659, 20, 392 is 1

Given Input Data is 416, 659, 20, 392

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 659 is 659

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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(416, 659) = 274144

GCD(416, 659) = ( 416 x 659 ) / 274144

GCD(416, 659) = 274144 / 274144

GCD(416, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 416, 659, 20, 392 is 1

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• GCD of 455, 739, 48, 371
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1. What is the GCD of 416, 659, 20, 392?

GCD of 416, 659, 20, 392 is 1

2. Where do I get the detailed procedure to find GCD of 416, 659, 20, 392?

You can find a detailed procedure to find GCD of 416, 659, 20, 392 on our page.

3. How to find GCD of 416, 659, 20, 392 on a calculator?

You can find the GCD of 416, 659, 20, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.