GCD of 122, 338, 204, 728 Calculator

Given Input numbers are 122, 338, 204, 728

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

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (122, 338, 204, 728) = 2.

Given numbers are 122, 338, 204, 728

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 338 are 2 x 13 x 13

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 122, 338, 204, 728 is 2.

Given numbers are 122, 338, 204, 728

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

Apply this formula for all numbers.

Step1:

LCM(122, 338) = 20618

GCD(122, 338) = ( 122 x 338 ) / 20618

= 122 / 338

= 122

Step2:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 122, 338, 204, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 212, 576, 280
• GCD of 696, 230, 651, 810
• GCD of 906, 498, 556, 586
• GCD of 280, 127, 997, 517
• GCD of 722, 138, 976, 268

Given numbers are 122, 338, 204, 728
The greatest common divisor of numbers 122, 338, 204, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 338, 204, 728 is 2.

1. What is the GCD of 122, 338, 204, 728?

GCD of given numbers 122, 338, 204, 728 is 2

2. How to calculate the greatest common divisor of 122, 338, 204, 728?

We can find the highest common divisor of 122, 338, 204, 728 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 122, 338, 204, 728 i.e 2.

3. How can I use the GCD of 122, 338, 204, 728Calculator?

Out the numbers 122, 338, 204, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.