GCD of 689, 397, 205, 213 Calculator

Given Input numbers are 689, 397, 205, 213

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

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (689, 397, 205, 213) = 1.

Given numbers are 689, 397, 205, 213

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 397 are 397

Prime factors of 205 are 5 x 41

Prime factors of 213 are 3 x 71

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

Given numbers are 689, 397, 205, 213

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

Apply this formula for all numbers.

Step1:

LCM(689, 397) = 273533

GCD(689, 397) = ( 689 x 397 ) / 273533

= 689 / 397

= 689

Step2:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1

Step3:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

So, Greatest Common Divisor of 689, 397, 205, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 330, 895, 945
• GCD of 861, 297, 699, 651
• GCD of 340, 697, 903, 570
• GCD of 270, 385, 523, 891
• GCD of 329, 663, 513, 108

Given numbers are 689, 397, 205, 213
The greatest common divisor of numbers 689, 397, 205, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 397, 205, 213 is 1.

1. What is the GCD of 689, 397, 205, 213?

GCD of given numbers 689, 397, 205, 213 is 1

2. How to calculate the greatest common divisor of 689, 397, 205, 213?

We can find the highest common divisor of 689, 397, 205, 213 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 689, 397, 205, 213 i.e 1.

3. How can I use the GCD of 689, 397, 205, 213Calculator?

Out the numbers 689, 397, 205, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.