GCD of 187, 208, 689 Calculator

Given Input numbers are 187, 208, 689

In the factoring method, we have to find the divisors of all numbers

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (187, 208, 689) = 1.

Given numbers are 187, 208, 689

The list of prime factors of all numbers are

Prime factors of 187 are 11 x 17

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 689 are 13 x 53

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 187, 208, 689

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(187, 208) = 38896

GCD(187, 208) = ( 187 x 208 ) / 38896

= 187 / 208

= 187

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 187, 208, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 111, 738
• GCD of 438, 593, 482
• GCD of 446, 499, 156
• GCD of 902, 718, 166
• GCD of 194, 895, 576

Given numbers are 187, 208, 689
The greatest common divisor of numbers 187, 208, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 187, 208, 689 is 1.

1. What is the GCD of 187, 208, 689?

GCD of given numbers 187, 208, 689 is 1

2. How to calculate the greatest common divisor of 187, 208, 689?

We can find the highest common divisor of 187, 208, 689 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 187, 208, 689 i.e 1.

3. How can I use the GCD of 187, 208, 689Calculator?

Out the numbers 187, 208, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.