GCD of 189, 192, 824, 268 Calculator

Given Input numbers are 189, 192, 824, 268

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 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (189, 192, 824, 268) = 1.

Given numbers are 189, 192, 824, 268

The list of prime factors of all numbers are

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

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 268 are 2 x 2 x 67

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

Given numbers are 189, 192, 824, 268

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

Apply this formula for all numbers.

Step1:

LCM(189, 192) = 12096

GCD(189, 192) = ( 189 x 192 ) / 12096

= 189 / 192

= 189

Step2:

LCM(3, 824) = 2472

GCD(3, 824) = ( 3 x 824 ) / 2472

= 3 / 824

= 3

Step3:

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

= 1 / 268

= 1

So, Greatest Common Divisor of 189, 192, 824, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 806, 426, 422
• GCD of 256, 944, 280, 283
• GCD of 315, 968, 988, 504
• GCD of 307, 815, 895, 539
• GCD of 284, 278, 718, 311

Given numbers are 189, 192, 824, 268
The greatest common divisor of numbers 189, 192, 824, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 192, 824, 268 is 1.

1. What is the GCD of 189, 192, 824, 268?

GCD of given numbers 189, 192, 824, 268 is 1

2. How to calculate the greatest common divisor of 189, 192, 824, 268?

We can find the highest common divisor of 189, 192, 824, 268 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, 192, 824, 268 i.e 1.

3. How can I use the GCD of 189, 192, 824, 268Calculator?

Out the numbers 189, 192, 824, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.