GCD of 344, 322, 16, 514 Calculator

Given Input numbers are 344, 322, 16, 514

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 322 :

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

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

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

GCD of numbers is the greatest common divisor

So, the GCD (344, 322, 16, 514) = 2.

Given numbers are 344, 322, 16, 514

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 322 are 2 x 7 x 23

Prime factors of 16 are 2 x 2 x 2 x 2

Prime factors of 514 are 2 x 257

The highest common occurrence is 2¹

Therefore, GCD of 344, 322, 16, 514 is 2.

Given numbers are 344, 322, 16, 514

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

Apply this formula for all numbers.

Step1:

LCM(344, 322) = 55384

GCD(344, 322) = ( 344 x 322 ) / 55384

= 344 / 322

= 344

Step2:

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

= 2 / 16

= 2

Step3:

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

= 2 / 514

= 2

So, Greatest Common Divisor of 344, 322, 16, 514 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 911, 88, 403
• GCD of 315, 810, 89, 879
• GCD of 690, 658, 46, 595
• GCD of 398, 703, 27, 133
• GCD of 706, 803, 94, 330

Given numbers are 344, 322, 16, 514
The greatest common divisor of numbers 344, 322, 16, 514 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 322, 16, 514 is 2.

1. What is the GCD of 344, 322, 16, 514?

GCD of given numbers 344, 322, 16, 514 is 2

2. How to calculate the greatest common divisor of 344, 322, 16, 514?

We can find the highest common divisor of 344, 322, 16, 514 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 344, 322, 16, 514 i.e 2.

3. How can I use the GCD of 344, 322, 16, 514Calculator?

Out the numbers 344, 322, 16, 514 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.