GCD of 255, 342, 359, 438 Calculator

Given Input numbers are 255, 342, 359, 438

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

Divisors of 255 :

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

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (255, 342, 359, 438) = 1.

Given numbers are 255, 342, 359, 438

The list of prime factors of all numbers are

Prime factors of 255 are 3 x 5 x 17

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 359 are 359

Prime factors of 438 are 2 x 3 x 73

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

Given numbers are 255, 342, 359, 438

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

Apply this formula for all numbers.

Step1:

LCM(255, 342) = 29070

GCD(255, 342) = ( 255 x 342 ) / 29070

= 255 / 342

= 255

Step2:

LCM(3, 359) = 1077

GCD(3, 359) = ( 3 x 359 ) / 1077

= 3 / 359

= 3

Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 255, 342, 359, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 865, 343, 417, 908
• GCD of 572, 292, 109, 990
• GCD of 591, 909, 393, 752
• GCD of 629, 137, 744, 240
• GCD of 189, 792, 810, 477

Given numbers are 255, 342, 359, 438
The greatest common divisor of numbers 255, 342, 359, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 255, 342, 359, 438 is 1.

1. What is the GCD of 255, 342, 359, 438?

GCD of given numbers 255, 342, 359, 438 is 1

2. How to calculate the greatest common divisor of 255, 342, 359, 438?

We can find the highest common divisor of 255, 342, 359, 438 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 255, 342, 359, 438 i.e 1.

3. How can I use the GCD of 255, 342, 359, 438Calculator?

Out the numbers 255, 342, 359, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.