GCD of 338, 180, 622, 966 Calculator

Given Input numbers are 338, 180, 622, 966

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (338, 180, 622, 966) = 2.

Given numbers are 338, 180, 622, 966

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 622 are 2 x 311

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 338, 180, 622, 966 is 2.

Given numbers are 338, 180, 622, 966

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

Apply this formula for all numbers.

Step1:

LCM(338, 180) = 30420

GCD(338, 180) = ( 338 x 180 ) / 30420

= 338 / 180

= 338

Step2:

LCM(2, 622) = 622

GCD(2, 622) = ( 2 x 622 ) / 622

= 2 / 622

= 2

Step3:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

So, Greatest Common Divisor of 338, 180, 622, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 798, 827, 694
• GCD of 456, 804, 241, 778
• GCD of 828, 555, 246, 908
• GCD of 542, 392, 990, 205
• GCD of 190, 741, 267, 749

Given numbers are 338, 180, 622, 966
The greatest common divisor of numbers 338, 180, 622, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 180, 622, 966 is 2.

1. What is the GCD of 338, 180, 622, 966?

GCD of given numbers 338, 180, 622, 966 is 2

2. How to calculate the greatest common divisor of 338, 180, 622, 966?

We can find the highest common divisor of 338, 180, 622, 966 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 338, 180, 622, 966 i.e 2.

3. How can I use the GCD of 338, 180, 622, 966Calculator?

Out the numbers 338, 180, 622, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.