GCD of 189, 828, 144, 287 Calculator

Given Input numbers are 189, 828, 144, 287

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 287 :

The positive integer divisors of 287 that completely divides 287 are.

1, 7, 41, 287

GCD of numbers is the greatest common divisor

So, the GCD (189, 828, 144, 287) = 1.

Given numbers are 189, 828, 144, 287

The list of prime factors of all numbers are

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 287 are 7 x 41

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

Given numbers are 189, 828, 144, 287

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

Apply this formula for all numbers.

Step1:

LCM(189, 828) = 17388

GCD(189, 828) = ( 189 x 828 ) / 17388

= 189 / 828

= 189

Step2:

LCM(9, 144) = 144

GCD(9, 144) = ( 9 x 144 ) / 144

= 9 / 144

= 9

Step3:

LCM(9, 287) = 2583

GCD(9, 287) = ( 9 x 287 ) / 2583

= 9 / 287

= 9

So, Greatest Common Divisor of 189, 828, 144, 287 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 159, 830, 984
• GCD of 246, 828, 174, 131
• GCD of 791, 671, 929, 638
• GCD of 215, 815, 994, 845
• GCD of 440, 935, 413, 674

Given numbers are 189, 828, 144, 287
The greatest common divisor of numbers 189, 828, 144, 287 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 828, 144, 287 is 1.

1. What is the GCD of 189, 828, 144, 287?

GCD of given numbers 189, 828, 144, 287 is 1

2. How to calculate the greatest common divisor of 189, 828, 144, 287?

We can find the highest common divisor of 189, 828, 144, 287 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, 828, 144, 287 i.e 1.

3. How can I use the GCD of 189, 828, 144, 287Calculator?

Out the numbers 189, 828, 144, 287 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.