GCD of 322, 168, 312, 648 Calculator

Given Input numbers are 322, 168, 312, 648

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (322, 168, 312, 648) = 2.

Given numbers are 322, 168, 312, 648

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 322, 168, 312, 648 is 2.

Given numbers are 322, 168, 312, 648

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

Apply this formula for all numbers.

Step1:

LCM(322, 168) = 3864

GCD(322, 168) = ( 322 x 168 ) / 3864

= 322 / 168

= 322

Step2:

LCM(14, 312) = 2184

GCD(14, 312) = ( 14 x 312 ) / 2184

= 14 / 312

= 14

Step3:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

So, Greatest Common Divisor of 322, 168, 312, 648 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 784, 179, 885
• GCD of 340, 296, 717, 446
• GCD of 477, 430, 879, 708
• GCD of 258, 833, 469, 702
• GCD of 842, 122, 314, 807

Given numbers are 322, 168, 312, 648
The greatest common divisor of numbers 322, 168, 312, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 168, 312, 648 is 2.

1. What is the GCD of 322, 168, 312, 648?

GCD of given numbers 322, 168, 312, 648 is 2

2. How to calculate the greatest common divisor of 322, 168, 312, 648?

We can find the highest common divisor of 322, 168, 312, 648 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 322, 168, 312, 648 i.e 2.

3. How can I use the GCD of 322, 168, 312, 648Calculator?

Out the numbers 322, 168, 312, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.