GCD of 232, 636, 422, 900 Calculator

Given Input numbers are 232, 636, 422, 900

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

Divisors of 232 :

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

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

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

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

GCD of numbers is the greatest common divisor

So, the GCD (232, 636, 422, 900) = 2.

Given numbers are 232, 636, 422, 900

The list of prime factors of all numbers are

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

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 422 are 2 x 211

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

The highest common occurrence is 2¹

Therefore, GCD of 232, 636, 422, 900 is 2.

Given numbers are 232, 636, 422, 900

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

Apply this formula for all numbers.

Step1:

LCM(232, 636) = 36888

GCD(232, 636) = ( 232 x 636 ) / 36888

= 232 / 636

= 232

Step2:

LCM(4, 422) = 844

GCD(4, 422) = ( 4 x 422 ) / 844

= 4 / 422

= 4

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 232, 636, 422, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 204, 672, 921
• GCD of 128, 801, 993, 355
• GCD of 689, 269, 395, 288
• GCD of 511, 874, 101, 600
• GCD of 356, 951, 885, 256

Given numbers are 232, 636, 422, 900
The greatest common divisor of numbers 232, 636, 422, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 232, 636, 422, 900 is 2.

1. What is the GCD of 232, 636, 422, 900?

GCD of given numbers 232, 636, 422, 900 is 2

2. How to calculate the greatest common divisor of 232, 636, 422, 900?

We can find the highest common divisor of 232, 636, 422, 900 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 232, 636, 422, 900 i.e 2.

3. How can I use the GCD of 232, 636, 422, 900Calculator?

Out the numbers 232, 636, 422, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.