GCD of 400, 512, 464, 606 Calculator

Given Input numbers are 400, 512, 464, 606

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

GCD of numbers is the greatest common divisor

So, the GCD (400, 512, 464, 606) = 2.

Given numbers are 400, 512, 464, 606

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 606 are 2 x 3 x 101

The highest common occurrence is 2¹

Therefore, GCD of 400, 512, 464, 606 is 2.

Given numbers are 400, 512, 464, 606

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

Apply this formula for all numbers.

Step1:

LCM(400, 512) = 12800

GCD(400, 512) = ( 400 x 512 ) / 12800

= 400 / 512

= 400

Step2:

LCM(16, 464) = 464

GCD(16, 464) = ( 16 x 464 ) / 464

= 16 / 464

= 16

Step3:

LCM(16, 606) = 4848

GCD(16, 606) = ( 16 x 606 ) / 4848

= 16 / 606

= 16

So, Greatest Common Divisor of 400, 512, 464, 606 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 498, 431, 927
• GCD of 668, 373, 513, 242
• GCD of 400, 528, 439, 734
• GCD of 264, 684, 732, 921
• GCD of 167, 536, 845, 416

Given numbers are 400, 512, 464, 606
The greatest common divisor of numbers 400, 512, 464, 606 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 512, 464, 606 is 2.

1. What is the GCD of 400, 512, 464, 606?

GCD of given numbers 400, 512, 464, 606 is 2

2. How to calculate the greatest common divisor of 400, 512, 464, 606?

We can find the highest common divisor of 400, 512, 464, 606 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 400, 512, 464, 606 i.e 2.

3. How can I use the GCD of 400, 512, 464, 606Calculator?

Out the numbers 400, 512, 464, 606 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.