GCD of 189, 289, 528, 176 Calculator

Given Input numbers are 189, 289, 528, 176

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 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

GCD of numbers is the greatest common divisor

So, the GCD (189, 289, 528, 176) = 1.

Given numbers are 189, 289, 528, 176

The list of prime factors of all numbers are

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

Prime factors of 289 are 17 x 17

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

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

Given numbers are 189, 289, 528, 176

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

Apply this formula for all numbers.

Step1:

LCM(189, 289) = 54621

GCD(189, 289) = ( 189 x 289 ) / 54621

= 189 / 289

= 189

Step2:

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

= 1 / 528

= 1

Step3:

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

= 1 / 176

= 1

So, Greatest Common Divisor of 189, 289, 528, 176 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 855, 142, 708
• GCD of 548, 424, 589, 168
• GCD of 701, 555, 843, 224
• GCD of 339, 407, 681, 364
• GCD of 523, 740, 479, 181

Given numbers are 189, 289, 528, 176
The greatest common divisor of numbers 189, 289, 528, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 289, 528, 176 is 1.

1. What is the GCD of 189, 289, 528, 176?

GCD of given numbers 189, 289, 528, 176 is 1

2. How to calculate the greatest common divisor of 189, 289, 528, 176?

We can find the highest common divisor of 189, 289, 528, 176 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, 289, 528, 176 i.e 1.

3. How can I use the GCD of 189, 289, 528, 176Calculator?

Out the numbers 189, 289, 528, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.