GCD of 564, 288, 230, 676 Calculator

Given Input numbers are 564, 288, 230, 676

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 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (564, 288, 230, 676) = 2.

Given numbers are 564, 288, 230, 676

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 230 are 2 x 5 x 23

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 564, 288, 230, 676 is 2.

Given numbers are 564, 288, 230, 676

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, 230) = 1380

GCD(12, 230) = ( 12 x 230 ) / 1380

= 12 / 230

= 12

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 564, 288, 230, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 588, 957, 869
• GCD of 618, 976, 309, 120
• GCD of 768, 557, 256, 818
• GCD of 298, 107, 984, 578
• GCD of 719, 862, 944, 539

Given numbers are 564, 288, 230, 676
The greatest common divisor of numbers 564, 288, 230, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 288, 230, 676 is 2.

1. What is the GCD of 564, 288, 230, 676?

GCD of given numbers 564, 288, 230, 676 is 2

2. How to calculate the greatest common divisor of 564, 288, 230, 676?

We can find the highest common divisor of 564, 288, 230, 676 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, 230, 676 i.e 2.

3. How can I use the GCD of 564, 288, 230, 676Calculator?

Out the numbers 564, 288, 230, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.