GCD of 512, 722, 162, 486 Calculator

Given Input numbers are 512, 722, 162, 486

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 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

GCD of numbers is the greatest common divisor

So, the GCD (512, 722, 162, 486) = 2.

Given numbers are 512, 722, 162, 486

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 722 are 2 x 19 x 19

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 512, 722, 162, 486 is 2.

Given numbers are 512, 722, 162, 486

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

Apply this formula for all numbers.

Step1:

LCM(512, 722) = 184832

GCD(512, 722) = ( 512 x 722 ) / 184832

= 512 / 722

= 512

Step2:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

Step3:

LCM(2, 486) = 486

GCD(2, 486) = ( 2 x 486 ) / 486

= 2 / 486

= 2

So, Greatest Common Divisor of 512, 722, 162, 486 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 332, 422, 843
• GCD of 773, 749, 892, 328
• GCD of 869, 976, 236, 226
• GCD of 106, 426, 523, 294
• GCD of 114, 135, 574, 698

Given numbers are 512, 722, 162, 486
The greatest common divisor of numbers 512, 722, 162, 486 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 722, 162, 486 is 2.

1. What is the GCD of 512, 722, 162, 486?

GCD of given numbers 512, 722, 162, 486 is 2

2. How to calculate the greatest common divisor of 512, 722, 162, 486?

We can find the highest common divisor of 512, 722, 162, 486 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, 722, 162, 486 i.e 2.

3. How can I use the GCD of 512, 722, 162, 486Calculator?

Out the numbers 512, 722, 162, 486 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.