GCD of 424, 689, 208, 162 Calculator

Given Input numbers are 424, 689, 208, 162

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

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

Greatest Common Divisior

We found the divisors of 424, 689, 208, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 689, 208, 162 is 1.

Therefore, GCD of numbers 424, 689, 208, 162 is 1

Given Input Data is 424, 689, 208, 162

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 689 is 13 x 53

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

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(424, 689) = 5512

GCD(424, 689) = ( 424 x 689 ) / 5512

GCD(424, 689) = 292136 / 5512

GCD(424, 689) = 53

Step2:

Here we consider the GCD from the above i.e. 53 as first number and the next as 208

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

LCM(53, 208) = 11024

GCD(53, 208) = ( 53 x 208 ) / 11024

GCD(53, 208) = 11024 / 11024

GCD(53, 208) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 424, 689, 208, 162 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 614, 622, 689
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• GCD of 493, 226, 899, 773

1. What is the GCD of 424, 689, 208, 162?

GCD of 424, 689, 208, 162 is 1

2. Where do I get the detailed procedure to find GCD of 424, 689, 208, 162?

You can find a detailed procedure to find GCD of 424, 689, 208, 162 on our page.

3. How to find GCD of 424, 689, 208, 162 on a calculator?

You can find the GCD of 424, 689, 208, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.