GCD of 564, 288, 285, 431 Calculator

Given Input numbers are 564, 288, 285, 431

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

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

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

GCD of numbers is the greatest common divisor

So, the GCD (564, 288, 285, 431) = 1.

Given numbers are 564, 288, 285, 431

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 285 are 3 x 5 x 19

Prime factors of 431 are 431

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

Given numbers are 564, 288, 285, 431

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

Apply this formula for all numbers.

Step1:

LCM(564, 288) = 13536

GCD(564, 288) = ( 564 x 288 ) / 13536

= 564 / 288

= 564

Step2:

LCM(12, 285) = 1140

GCD(12, 285) = ( 12 x 285 ) / 1140

= 12 / 285

= 12

Step3:

LCM(3, 431) = 1293

GCD(3, 431) = ( 3 x 431 ) / 1293

= 3 / 431

= 3

So, Greatest Common Divisor of 564, 288, 285, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 507, 735, 133
• GCD of 749, 873, 612, 381
• GCD of 209, 765, 755, 135
• GCD of 156, 505, 647, 993
• GCD of 552, 993, 903, 298

Given numbers are 564, 288, 285, 431
The greatest common divisor of numbers 564, 288, 285, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 288, 285, 431 is 1.

1. What is the GCD of 564, 288, 285, 431?

GCD of given numbers 564, 288, 285, 431 is 1

2. How to calculate the greatest common divisor of 564, 288, 285, 431?

We can find the highest common divisor of 564, 288, 285, 431 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 564, 288, 285, 431 i.e 1.

3. How can I use the GCD of 564, 288, 285, 431Calculator?

Out the numbers 564, 288, 285, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.