GCD of 689, 123, 53, 208 Calculator

Given Input numbers are 689, 123, 53, 208

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

Divisors of 689

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

1, 13, 53, 689

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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 689, 123, 53, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 123, 53, 208 is 1.

Therefore, GCD of numbers 689, 123, 53, 208 is 1

Given Input Data is 689, 123, 53, 208

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 123 is 3 x 41

Prime Factorization of 53 is 53

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(689, 123) = 84747

GCD(689, 123) = ( 689 x 123 ) / 84747

GCD(689, 123) = 84747 / 84747

GCD(689, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 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 689, 123, 53, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 542, 27, 983
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• GCD of 894, 432, 98, 473
• GCD of 155, 533, 32, 198

1. What is the GCD of 689, 123, 53, 208?

GCD of 689, 123, 53, 208 is 1

2. Where do I get the detailed procedure to find GCD of 689, 123, 53, 208?

You can find a detailed procedure to find GCD of 689, 123, 53, 208 on our page.

3. How to find GCD of 689, 123, 53, 208 on a calculator?

You can find the GCD of 689, 123, 53, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.