GCD of 189, 405, 698, 982 Calculator

Given Input numbers are 189, 405, 698, 982

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 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

GCD of numbers is the greatest common divisor

So, the GCD (189, 405, 698, 982) = 1.

Given numbers are 189, 405, 698, 982

The list of prime factors of all numbers are

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

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 698 are 2 x 349

Prime factors of 982 are 2 x 491

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

Given numbers are 189, 405, 698, 982

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

Apply this formula for all numbers.

Step1:

LCM(189, 405) = 2835

GCD(189, 405) = ( 189 x 405 ) / 2835

= 189 / 405

= 189

Step2:

LCM(27, 698) = 18846

GCD(27, 698) = ( 27 x 698 ) / 18846

= 27 / 698

= 27

Step3:

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

= 1 / 982

= 1

So, Greatest Common Divisor of 189, 405, 698, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 312, 389, 764
• GCD of 216, 777, 930, 646
• GCD of 450, 308, 843, 783
• GCD of 725, 802, 993, 179
• GCD of 418, 807, 881, 330

Given numbers are 189, 405, 698, 982
The greatest common divisor of numbers 189, 405, 698, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 405, 698, 982 is 1.

1. What is the GCD of 189, 405, 698, 982?

GCD of given numbers 189, 405, 698, 982 is 1

2. How to calculate the greatest common divisor of 189, 405, 698, 982?

We can find the highest common divisor of 189, 405, 698, 982 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, 405, 698, 982 i.e 1.

3. How can I use the GCD of 189, 405, 698, 982Calculator?

Out the numbers 189, 405, 698, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.