GCD of 288, 900, 351, 582 Calculator

Given Input numbers are 288, 900, 351, 582

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 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

GCD of numbers is the greatest common divisor

So, the GCD (288, 900, 351, 582) = 3.

Given numbers are 288, 900, 351, 582

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 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 582 are 2 x 3 x 97

The highest common occurrence is 3¹

Therefore, GCD of 288, 900, 351, 582 is 3.

Given numbers are 288, 900, 351, 582

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

Apply this formula for all numbers.

Step1:

LCM(288, 900) = 7200

GCD(288, 900) = ( 288 x 900 ) / 7200

= 288 / 900

= 288

Step2:

LCM(36, 351) = 1404

GCD(36, 351) = ( 36 x 351 ) / 1404

= 36 / 351

= 36

Step3:

LCM(9, 582) = 1746

GCD(9, 582) = ( 9 x 582 ) / 1746

= 9 / 582

= 9

So, Greatest Common Divisor of 288, 900, 351, 582 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 263, 553, 203
• GCD of 872, 737, 990, 662
• GCD of 787, 766, 823, 392
• GCD of 480, 329, 447, 998
• GCD of 239, 454, 849, 594

Given numbers are 288, 900, 351, 582
The greatest common divisor of numbers 288, 900, 351, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 900, 351, 582 is 3.

1. What is the GCD of 288, 900, 351, 582?

GCD of given numbers 288, 900, 351, 582 is 3

2. How to calculate the greatest common divisor of 288, 900, 351, 582?

We can find the highest common divisor of 288, 900, 351, 582 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, 900, 351, 582 i.e 3.

3. How can I use the GCD of 288, 900, 351, 582Calculator?

Out the numbers 288, 900, 351, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.