GCD of 512, 150, 404 Calculator

Given Input numbers are 512, 150, 404

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 404 :

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

1, 2, 4, 101, 202, 404

GCD of numbers is the greatest common divisor

So, the GCD (512, 150, 404) = 2.

Given numbers are 512, 150, 404

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 404 are 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 512, 150, 404 is 2.

Given numbers are 512, 150, 404

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

Apply this formula for all numbers.

Step1:

LCM(512, 150) = 38400

GCD(512, 150) = ( 512 x 150 ) / 38400

= 512 / 150

= 512

Step2:

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

= 2 / 404

= 2

So, Greatest Common Divisor of 512, 150, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 583, 257
• GCD of 614, 142, 475
• GCD of 312, 982, 478
• GCD of 548, 387, 312
• GCD of 302, 474, 906

Given numbers are 512, 150, 404
The greatest common divisor of numbers 512, 150, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 150, 404 is 2.

1. What is the GCD of 512, 150, 404?

GCD of given numbers 512, 150, 404 is 2

2. How to calculate the greatest common divisor of 512, 150, 404?

We can find the highest common divisor of 512, 150, 404 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 512, 150, 404 i.e 2.

3. How can I use the GCD of 512, 150, 404Calculator?

Out the numbers 512, 150, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.