GCD of 900, 516, 404, 366 Calculator

Given Input numbers are 900, 516, 404, 366

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 404 :

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

1, 2, 4, 101, 202, 404

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

GCD of numbers is the greatest common divisor

So, the GCD (900, 516, 404, 366) = 2.

Given numbers are 900, 516, 404, 366

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 516 are 2 x 2 x 3 x 43

Prime factors of 404 are 2 x 2 x 101

Prime factors of 366 are 2 x 3 x 61

The highest common occurrence is 2¹

Therefore, GCD of 900, 516, 404, 366 is 2.

Given numbers are 900, 516, 404, 366

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

Apply this formula for all numbers.

Step1:

LCM(900, 516) = 38700

GCD(900, 516) = ( 900 x 516 ) / 38700

= 900 / 516

= 900

Step2:

LCM(12, 404) = 1212

GCD(12, 404) = ( 12 x 404 ) / 1212

= 12 / 404

= 12

Step3:

LCM(4, 366) = 732

GCD(4, 366) = ( 4 x 366 ) / 732

= 4 / 366

= 4

So, Greatest Common Divisor of 900, 516, 404, 366 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 990, 930, 621
• GCD of 117, 334, 377, 321
• GCD of 302, 676, 375, 447
• GCD of 527, 413, 758, 215
• GCD of 188, 911, 902, 387

Given numbers are 900, 516, 404, 366
The greatest common divisor of numbers 900, 516, 404, 366 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 516, 404, 366 is 2.

1. What is the GCD of 900, 516, 404, 366?

GCD of given numbers 900, 516, 404, 366 is 2

2. How to calculate the greatest common divisor of 900, 516, 404, 366?

We can find the highest common divisor of 900, 516, 404, 366 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, 516, 404, 366 i.e 2.

3. How can I use the GCD of 900, 516, 404, 366Calculator?

Out the numbers 900, 516, 404, 366 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.