GCD of 390, 359, 344, 687 Calculator

Given Input numbers are 390, 359, 344, 687

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 359 :

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

1, 359

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (390, 359, 344, 687) = 1.

Given numbers are 390, 359, 344, 687

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 359 are 359

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 687 are 3 x 229

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

Given numbers are 390, 359, 344, 687

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

Apply this formula for all numbers.

Step1:

LCM(390, 359) = 140010

GCD(390, 359) = ( 390 x 359 ) / 140010

= 390 / 359

= 390

Step2:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 390, 359, 344, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 305, 131, 369
• GCD of 495, 361, 600, 580
• GCD of 209, 606, 962, 790
• GCD of 768, 332, 727, 104
• GCD of 610, 621, 282, 938

Given numbers are 390, 359, 344, 687
The greatest common divisor of numbers 390, 359, 344, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 359, 344, 687 is 1.

1. What is the GCD of 390, 359, 344, 687?

GCD of given numbers 390, 359, 344, 687 is 1

2. How to calculate the greatest common divisor of 390, 359, 344, 687?

We can find the highest common divisor of 390, 359, 344, 687 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 390, 359, 344, 687 i.e 1.

3. How can I use the GCD of 390, 359, 344, 687Calculator?

Out the numbers 390, 359, 344, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.