GCD of 288, 572, 916, 682 Calculator

Given Input numbers are 288, 572, 916, 682

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

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 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (288, 572, 916, 682) = 2.

Given numbers are 288, 572, 916, 682

The list of prime factors of all numbers are

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

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 916 are 2 x 2 x 229

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 288, 572, 916, 682 is 2.

Given numbers are 288, 572, 916, 682

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

Apply this formula for all numbers.

Step1:

LCM(288, 572) = 41184

GCD(288, 572) = ( 288 x 572 ) / 41184

= 288 / 572

= 288

Step2:

LCM(4, 916) = 916

GCD(4, 916) = ( 4 x 916 ) / 916

= 4 / 916

= 4

Step3:

LCM(4, 682) = 1364

GCD(4, 682) = ( 4 x 682 ) / 1364

= 4 / 682

= 4

So, Greatest Common Divisor of 288, 572, 916, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 256, 971, 887
• GCD of 707, 860, 575, 973
• GCD of 456, 616, 283, 428
• GCD of 314, 903, 177, 628
• GCD of 485, 911, 816, 604

Given numbers are 288, 572, 916, 682
The greatest common divisor of numbers 288, 572, 916, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 572, 916, 682 is 2.

1. What is the GCD of 288, 572, 916, 682?

GCD of given numbers 288, 572, 916, 682 is 2

2. How to calculate the greatest common divisor of 288, 572, 916, 682?

We can find the highest common divisor of 288, 572, 916, 682 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 288, 572, 916, 682 i.e 2.

3. How can I use the GCD of 288, 572, 916, 682Calculator?

Out the numbers 288, 572, 916, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.