GCD of 189, 456, 33, 638 Calculator

Given Input numbers are 189, 456, 33, 638

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 33 :

The positive integer divisors of 33 that completely divides 33 are.

1, 3, 11, 33

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (189, 456, 33, 638) = 1.

Given numbers are 189, 456, 33, 638

The list of prime factors of all numbers are

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

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 33 are 3 x 11

Prime factors of 638 are 2 x 11 x 29

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

Given numbers are 189, 456, 33, 638

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

Apply this formula for all numbers.

Step1:

LCM(189, 456) = 28728

GCD(189, 456) = ( 189 x 456 ) / 28728

= 189 / 456

= 189

Step2:

LCM(3, 33) = 33

GCD(3, 33) = ( 3 x 33 ) / 33

= 3 / 33

= 3

Step3:

LCM(3, 638) = 1914

GCD(3, 638) = ( 3 x 638 ) / 1914

= 3 / 638

= 3

So, Greatest Common Divisor of 189, 456, 33, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 867, 82, 861
• GCD of 246, 677, 45, 786
• GCD of 949, 829, 58, 944
• GCD of 993, 896, 75, 769
• GCD of 536, 260, 17, 600

Given numbers are 189, 456, 33, 638
The greatest common divisor of numbers 189, 456, 33, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 456, 33, 638 is 1.

1. What is the GCD of 189, 456, 33, 638?

GCD of given numbers 189, 456, 33, 638 is 1

2. How to calculate the greatest common divisor of 189, 456, 33, 638?

We can find the highest common divisor of 189, 456, 33, 638 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, 456, 33, 638 i.e 1.

3. How can I use the GCD of 189, 456, 33, 638Calculator?

Out the numbers 189, 456, 33, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.