GCD of 556, 338, 604, 872 Calculator

Given Input numbers are 556, 338, 604, 872

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

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (556, 338, 604, 872) = 2.

Given numbers are 556, 338, 604, 872

The list of prime factors of all numbers are

Prime factors of 556 are 2 x 2 x 139

Prime factors of 338 are 2 x 13 x 13

Prime factors of 604 are 2 x 2 x 151

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 556, 338, 604, 872 is 2.

Given numbers are 556, 338, 604, 872

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

Apply this formula for all numbers.

Step1:

LCM(556, 338) = 93964

GCD(556, 338) = ( 556 x 338 ) / 93964

= 556 / 338

= 556

Step2:

LCM(2, 604) = 604

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

= 2 / 604

= 2

Step3:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

So, Greatest Common Divisor of 556, 338, 604, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 652, 723, 225
• GCD of 593, 388, 762, 571
• GCD of 844, 580, 258, 233
• GCD of 251, 303, 404, 802
• GCD of 322, 483, 443, 281

Given numbers are 556, 338, 604, 872
The greatest common divisor of numbers 556, 338, 604, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 556, 338, 604, 872 is 2.

1. What is the GCD of 556, 338, 604, 872?

GCD of given numbers 556, 338, 604, 872 is 2

2. How to calculate the greatest common divisor of 556, 338, 604, 872?

We can find the highest common divisor of 556, 338, 604, 872 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 556, 338, 604, 872 i.e 2.

3. How can I use the GCD of 556, 338, 604, 872Calculator?

Out the numbers 556, 338, 604, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.