GCD of 162, 475, 83, 208 Calculator

Given Input numbers are 162, 475, 83, 208

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

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

Greatest Common Divisior

We found the divisors of 162, 475, 83, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 475, 83, 208 is 1.

Therefore, GCD of numbers 162, 475, 83, 208 is 1

Given Input Data is 162, 475, 83, 208

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 83 is 83

Prime Factorization of 208 is 2 x 2 x 2 x 2 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(162, 475) = 76950

GCD(162, 475) = ( 162 x 475 ) / 76950

GCD(162, 475) = 76950 / 76950

GCD(162, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 162, 475, 83, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 360, 908, 39, 971
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• GCD of 832, 584, 49, 898

1. What is the GCD of 162, 475, 83, 208?

GCD of 162, 475, 83, 208 is 1

2. Where do I get the detailed procedure to find GCD of 162, 475, 83, 208?

You can find a detailed procedure to find GCD of 162, 475, 83, 208 on our page.

3. How to find GCD of 162, 475, 83, 208 on a calculator?

You can find the GCD of 162, 475, 83, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.