GCD of 208, 162, 453, 695 Calculator

Given Input numbers are 208, 162, 453, 695

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

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

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 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 208, 162, 453, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 162, 453, 695 is 1.

Therefore, GCD of numbers 208, 162, 453, 695 is 1

Given Input Data is 208, 162, 453, 695

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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

Prime Factorization of 453 is 3 x 151

Prime Factorization of 695 is 5 x 139

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(208, 162) = 16848

GCD(208, 162) = ( 208 x 162 ) / 16848

GCD(208, 162) = 33696 / 16848

GCD(208, 162) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 453

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

LCM(2, 453) = 906

GCD(2, 453) = ( 2 x 453 ) / 906

GCD(2, 453) = 906 / 906

GCD(2, 453) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 208, 162, 453, 695 is 1

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1. What is the GCD of 208, 162, 453, 695?

GCD of 208, 162, 453, 695 is 1

2. Where do I get the detailed procedure to find GCD of 208, 162, 453, 695?

You can find a detailed procedure to find GCD of 208, 162, 453, 695 on our page.

3. How to find GCD of 208, 162, 453, 695 on a calculator?

You can find the GCD of 208, 162, 453, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.