GCD of 344, 518, 338, 604 Calculator

Given Input numbers are 344, 518, 338, 604

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 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

GCD of numbers is the greatest common divisor

So, the GCD (344, 518, 338, 604) = 2.

Given numbers are 344, 518, 338, 604

The list of prime factors of all numbers are

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

Prime factors of 518 are 2 x 7 x 37

Prime factors of 338 are 2 x 13 x 13

Prime factors of 604 are 2 x 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 344, 518, 338, 604 is 2.

Given numbers are 344, 518, 338, 604

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

Apply this formula for all numbers.

Step1:

LCM(344, 518) = 89096

GCD(344, 518) = ( 344 x 518 ) / 89096

= 344 / 518

= 344

Step2:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

Step3:

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

= 2 / 604

= 2

So, Greatest Common Divisor of 344, 518, 338, 604 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 548, 270, 986
• GCD of 819, 924, 218, 650
• GCD of 951, 461, 603, 448
• GCD of 776, 847, 158, 111
• GCD of 636, 286, 389, 525

Given numbers are 344, 518, 338, 604
The greatest common divisor of numbers 344, 518, 338, 604 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 518, 338, 604 is 2.

1. What is the GCD of 344, 518, 338, 604?

GCD of given numbers 344, 518, 338, 604 is 2

2. How to calculate the greatest common divisor of 344, 518, 338, 604?

We can find the highest common divisor of 344, 518, 338, 604 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, 518, 338, 604 i.e 2.

3. How can I use the GCD of 344, 518, 338, 604Calculator?

Out the numbers 344, 518, 338, 604 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.