GCD of 697, 408, 165, 406 Calculator

Given Input numbers are 697, 408, 165, 406

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 406

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

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

Greatest Common Divisior

We found the divisors of 697, 408, 165, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 408, 165, 406 is 1.

Therefore, GCD of numbers 697, 408, 165, 406 is 1

Given Input Data is 697, 408, 165, 406

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 406 is 2 x 7 x 29

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(697, 408) = 16728

GCD(697, 408) = ( 697 x 408 ) / 16728

GCD(697, 408) = 284376 / 16728

GCD(697, 408) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 165

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

LCM(17, 165) = 2805

GCD(17, 165) = ( 17 x 165 ) / 2805

GCD(17, 165) = 2805 / 2805

GCD(17, 165) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 697, 408, 165, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 644, 429, 659
• GCD of 467, 456, 527, 997
• GCD of 143, 678, 733, 930
• GCD of 943, 796, 873, 735
• GCD of 643, 566, 611, 921

1. What is the GCD of 697, 408, 165, 406?

GCD of 697, 408, 165, 406 is 1

2. Where do I get the detailed procedure to find GCD of 697, 408, 165, 406?

You can find a detailed procedure to find GCD of 697, 408, 165, 406 on our page.

3. How to find GCD of 697, 408, 165, 406 on a calculator?

You can find the GCD of 697, 408, 165, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.