GCD of 406, 374, 16, 647 Calculator

Given Input numbers are 406, 374, 16, 647

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 406, 374, 16, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 374, 16, 647 is 1.

Therefore, GCD of numbers 406, 374, 16, 647 is 1

Given Input Data is 406, 374, 16, 647

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 374 is 2 x 11 x 17

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

Prime Factorization of 647 is 647

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(406, 374) = 75922

GCD(406, 374) = ( 406 x 374 ) / 75922

GCD(406, 374) = 151844 / 75922

GCD(406, 374) = 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 647

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

LCM(2, 647) = 1294

GCD(2, 647) = ( 2 x 647 ) / 1294

GCD(2, 647) = 1294 / 1294

GCD(2, 647) = 1

GCD of 406, 374, 16, 647 is 1

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• GCD of 846, 531, 66, 737
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1. What is the GCD of 406, 374, 16, 647?

GCD of 406, 374, 16, 647 is 1

2. Where do I get the detailed procedure to find GCD of 406, 374, 16, 647?

You can find a detailed procedure to find GCD of 406, 374, 16, 647 on our page.

3. How to find GCD of 406, 374, 16, 647 on a calculator?

You can find the GCD of 406, 374, 16, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.