GCD of 689, 329, 238, 406 Calculator

Given Input numbers are 689, 329, 238, 406

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 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

GCD of numbers is the greatest common divisor

So, the GCD (689, 329, 238, 406) = 1.

Given numbers are 689, 329, 238, 406

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 329 are 7 x 47

Prime factors of 238 are 2 x 7 x 17

Prime factors of 406 are 2 x 7 x 29

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

Given numbers are 689, 329, 238, 406

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

Apply this formula for all numbers.

Step1:

LCM(689, 329) = 226681

GCD(689, 329) = ( 689 x 329 ) / 226681

= 689 / 329

= 689

Step2:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1

Step3:

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

= 1 / 406

= 1

So, Greatest Common Divisor of 689, 329, 238, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 239, 760, 681
• GCD of 539, 411, 400, 945
• GCD of 175, 502, 421, 203
• GCD of 277, 445, 840, 423
• GCD of 343, 338, 622, 754

Given numbers are 689, 329, 238, 406
The greatest common divisor of numbers 689, 329, 238, 406 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 329, 238, 406 is 1.

1. What is the GCD of 689, 329, 238, 406?

GCD of given numbers 689, 329, 238, 406 is 1

2. How to calculate the greatest common divisor of 689, 329, 238, 406?

We can find the highest common divisor of 689, 329, 238, 406 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, 329, 238, 406 i.e 1.

3. How can I use the GCD of 689, 329, 238, 406Calculator?

Out the numbers 689, 329, 238, 406 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.