GCD of 338, 288, 255, 428 Calculator

Given Input numbers are 338, 288, 255, 428

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 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (338, 288, 255, 428) = 1.

Given numbers are 338, 288, 255, 428

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 255 are 3 x 5 x 17

Prime factors of 428 are 2 x 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 338, 288, 255, 428

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

Apply this formula for all numbers.

Step1:

LCM(338, 288) = 48672

GCD(338, 288) = ( 338 x 288 ) / 48672

= 338 / 288

= 338

Step2:

LCM(2, 255) = 510

GCD(2, 255) = ( 2 x 255 ) / 510

= 2 / 255

= 2

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 338, 288, 255, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 343, 287, 412
• GCD of 944, 937, 389, 530
• GCD of 344, 236, 417, 464
• GCD of 382, 195, 381, 268
• GCD of 538, 147, 260, 194

Given numbers are 338, 288, 255, 428
The greatest common divisor of numbers 338, 288, 255, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 288, 255, 428 is 1.

1. What is the GCD of 338, 288, 255, 428?

GCD of given numbers 338, 288, 255, 428 is 1

2. How to calculate the greatest common divisor of 338, 288, 255, 428?

We can find the highest common divisor of 338, 288, 255, 428 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, 288, 255, 428 i.e 1.

3. How can I use the GCD of 338, 288, 255, 428Calculator?

Out the numbers 338, 288, 255, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.