GCD of 367, 406, 75, 169 Calculator

Given Input numbers are 367, 406, 75, 169

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

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

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 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 367, 406, 75, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 406, 75, 169 is 1.

Therefore, GCD of numbers 367, 406, 75, 169 is 1

Given Input Data is 367, 406, 75, 169

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

Prime Factorization of 367 is 367

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 169 is 13 x 13

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(367, 406) = 149002

GCD(367, 406) = ( 367 x 406 ) / 149002

GCD(367, 406) = 149002 / 149002

GCD(367, 406) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 367, 406, 75, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 990, 63, 709
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• GCD of 816, 199, 94, 933

1. What is the GCD of 367, 406, 75, 169?

GCD of 367, 406, 75, 169 is 1

2. Where do I get the detailed procedure to find GCD of 367, 406, 75, 169?

You can find a detailed procedure to find GCD of 367, 406, 75, 169 on our page.

3. How to find GCD of 367, 406, 75, 169 on a calculator?

You can find the GCD of 367, 406, 75, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.