GCD of 189, 686, 561, 328 Calculator

Given Input numbers are 189, 686, 561, 328

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

GCD of numbers is the greatest common divisor

So, the GCD (189, 686, 561, 328) = 1.

Given numbers are 189, 686, 561, 328

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 561 are 3 x 11 x 17

Prime factors of 328 are 2 x 2 x 2 x 41

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

Given numbers are 189, 686, 561, 328

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

Apply this formula for all numbers.

Step1:

LCM(189, 686) = 18522

GCD(189, 686) = ( 189 x 686 ) / 18522

= 189 / 686

= 189

Step2:

LCM(7, 561) = 3927

GCD(7, 561) = ( 7 x 561 ) / 3927

= 7 / 561

= 7

Step3:

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

= 1 / 328

= 1

So, Greatest Common Divisor of 189, 686, 561, 328 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 349, 659, 874
• GCD of 376, 385, 537, 182
• GCD of 500, 446, 562, 821
• GCD of 451, 156, 538, 808
• GCD of 648, 734, 538, 960

Given numbers are 189, 686, 561, 328
The greatest common divisor of numbers 189, 686, 561, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 686, 561, 328 is 1.

1. What is the GCD of 189, 686, 561, 328?

GCD of given numbers 189, 686, 561, 328 is 1

2. How to calculate the greatest common divisor of 189, 686, 561, 328?

We can find the highest common divisor of 189, 686, 561, 328 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 189, 686, 561, 328 i.e 1.

3. How can I use the GCD of 189, 686, 561, 328Calculator?

Out the numbers 189, 686, 561, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.