GCD of 900, 684, 500, 232 Calculator

Given Input numbers are 900, 684, 500, 232

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

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

GCD of numbers is the greatest common divisor

So, the GCD (900, 684, 500, 232) = 4.

Given numbers are 900, 684, 500, 232

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 232 are 2 x 2 x 2 x 29

The highest common occurrence is 2²

Therefore, GCD of 900, 684, 500, 232 is 4.

Given numbers are 900, 684, 500, 232

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

Apply this formula for all numbers.

Step1:

LCM(900, 684) = 17100

GCD(900, 684) = ( 900 x 684 ) / 17100

= 900 / 684

= 900

Step2:

LCM(36, 500) = 4500

GCD(36, 500) = ( 36 x 500 ) / 4500

= 36 / 500

= 36

Step3:

LCM(4, 232) = 232

GCD(4, 232) = ( 4 x 232 ) / 232

= 4 / 232

= 4

So, Greatest Common Divisor of 900, 684, 500, 232 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 539, 342, 709
• GCD of 899, 239, 518, 198
• GCD of 906, 462, 589, 928
• GCD of 785, 715, 691, 820
• GCD of 618, 727, 935, 907

Given numbers are 900, 684, 500, 232
The greatest common divisor of numbers 900, 684, 500, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 684, 500, 232 is 4.

1. What is the GCD of 900, 684, 500, 232?

GCD of given numbers 900, 684, 500, 232 is 4

2. How to calculate the greatest common divisor of 900, 684, 500, 232?

We can find the highest common divisor of 900, 684, 500, 232 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 900, 684, 500, 232 i.e 4.

3. How can I use the GCD of 900, 684, 500, 232Calculator?

Out the numbers 900, 684, 500, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.