GCD of 408, 689, 65, 187 Calculator

Given Input numbers are 408, 689, 65, 187

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 689

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

1, 13, 53, 689

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 408, 689, 65, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 689, 65, 187 is 1.

Therefore, GCD of numbers 408, 689, 65, 187 is 1

Given Input Data is 408, 689, 65, 187

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 689 is 13 x 53

Prime Factorization of 65 is 5 x 13

Prime Factorization of 187 is 11 x 17

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(408, 689) = 281112

GCD(408, 689) = ( 408 x 689 ) / 281112

GCD(408, 689) = 281112 / 281112

GCD(408, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

GCD of 408, 689, 65, 187 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 296, 32, 392
• GCD of 531, 812, 91, 432
• GCD of 102, 870, 37, 477
• GCD of 886, 993, 85, 288
• GCD of 214, 466, 80, 199

1. What is the GCD of 408, 689, 65, 187?

GCD of 408, 689, 65, 187 is 1

2. Where do I get the detailed procedure to find GCD of 408, 689, 65, 187?

You can find a detailed procedure to find GCD of 408, 689, 65, 187 on our page.

3. How to find GCD of 408, 689, 65, 187 on a calculator?

You can find the GCD of 408, 689, 65, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.