GCD of 284, 192, 608, 180 Calculator

Given Input numbers are 284, 192, 608, 180

In the factoring method, we have to find the divisors of all numbers

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

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 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (284, 192, 608, 180) = 4.

Given numbers are 284, 192, 608, 180

The list of prime factors of all numbers are

Prime factors of 284 are 2 x 2 x 71

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

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2²

Therefore, GCD of 284, 192, 608, 180 is 4.

Given numbers are 284, 192, 608, 180

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

Apply this formula for all numbers.

Step1:

LCM(284, 192) = 13632

GCD(284, 192) = ( 284 x 192 ) / 13632

= 284 / 192

= 284

Step2:

LCM(4, 608) = 608

GCD(4, 608) = ( 4 x 608 ) / 608

= 4 / 608

= 4

Step3:

LCM(4, 180) = 180

GCD(4, 180) = ( 4 x 180 ) / 180

= 4 / 180

= 4

So, Greatest Common Divisor of 284, 192, 608, 180 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 280, 489, 531
• GCD of 424, 949, 682, 472
• GCD of 232, 928, 844, 658
• GCD of 424, 258, 323, 539
• GCD of 278, 294, 639, 991

Given numbers are 284, 192, 608, 180
The greatest common divisor of numbers 284, 192, 608, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 192, 608, 180 is 4.

1. What is the GCD of 284, 192, 608, 180?

GCD of given numbers 284, 192, 608, 180 is 4

2. How to calculate the greatest common divisor of 284, 192, 608, 180?

We can find the highest common divisor of 284, 192, 608, 180 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 284, 192, 608, 180 i.e 4.

3. How can I use the GCD of 284, 192, 608, 180Calculator?

Out the numbers 284, 192, 608, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.