GCD of 404, 204, 500, 732 Calculator

Given Input numbers are 404, 204, 500, 732

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

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (404, 204, 500, 732) = 4.

Given numbers are 404, 204, 500, 732

The list of prime factors of all numbers are

Prime factors of 404 are 2 x 2 x 101

Prime factors of 204 are 2 x 2 x 3 x 17

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

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 2²

Therefore, GCD of 404, 204, 500, 732 is 4.

Given numbers are 404, 204, 500, 732

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

Apply this formula for all numbers.

Step1:

LCM(404, 204) = 20604

GCD(404, 204) = ( 404 x 204 ) / 20604

= 404 / 204

= 404

Step2:

LCM(4, 500) = 500

GCD(4, 500) = ( 4 x 500 ) / 500

= 4 / 500

= 4

Step3:

LCM(4, 732) = 732

GCD(4, 732) = ( 4 x 732 ) / 732

= 4 / 732

= 4

So, Greatest Common Divisor of 404, 204, 500, 732 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 540, 922, 685
• GCD of 403, 103, 396, 360
• GCD of 479, 791, 582, 530
• GCD of 889, 908, 133, 445
• GCD of 294, 488, 576, 156

Given numbers are 404, 204, 500, 732
The greatest common divisor of numbers 404, 204, 500, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 404, 204, 500, 732 is 4.

1. What is the GCD of 404, 204, 500, 732?

GCD of given numbers 404, 204, 500, 732 is 4

2. How to calculate the greatest common divisor of 404, 204, 500, 732?

We can find the highest common divisor of 404, 204, 500, 732 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 404, 204, 500, 732 i.e 4.

3. How can I use the GCD of 404, 204, 500, 732Calculator?

Out the numbers 404, 204, 500, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.