GCD of 576, 654, 772, 188 Calculator

Given Input numbers are 576, 654, 772, 188

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

GCD of numbers is the greatest common divisor

So, the GCD (576, 654, 772, 188) = 2.

Given numbers are 576, 654, 772, 188

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 654 are 2 x 3 x 109

Prime factors of 772 are 2 x 2 x 193

Prime factors of 188 are 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 576, 654, 772, 188 is 2.

Given numbers are 576, 654, 772, 188

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

Apply this formula for all numbers.

Step1:

LCM(576, 654) = 62784

GCD(576, 654) = ( 576 x 654 ) / 62784

= 576 / 654

= 576

Step2:

LCM(6, 772) = 2316

GCD(6, 772) = ( 6 x 772 ) / 2316

= 6 / 772

= 6

Step3:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

So, Greatest Common Divisor of 576, 654, 772, 188 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 395, 988, 217
• GCD of 854, 478, 417, 391
• GCD of 381, 705, 834, 889
• GCD of 920, 986, 107, 380
• GCD of 715, 988, 152, 667

Given numbers are 576, 654, 772, 188
The greatest common divisor of numbers 576, 654, 772, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 654, 772, 188 is 2.

1. What is the GCD of 576, 654, 772, 188?

GCD of given numbers 576, 654, 772, 188 is 2

2. How to calculate the greatest common divisor of 576, 654, 772, 188?

We can find the highest common divisor of 576, 654, 772, 188 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 576, 654, 772, 188 i.e 2.

3. How can I use the GCD of 576, 654, 772, 188Calculator?

Out the numbers 576, 654, 772, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.