GCD of 240, 321, 389, 342 Calculator

Given Input numbers are 240, 321, 389, 342

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 389 :

The positive integer divisors of 389 that completely divides 389 are.

1, 389

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

GCD of numbers is the greatest common divisor

So, the GCD (240, 321, 389, 342) = 1.

Given numbers are 240, 321, 389, 342

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 321 are 3 x 107

Prime factors of 389 are 389

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

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

Given numbers are 240, 321, 389, 342

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

Apply this formula for all numbers.

Step1:

LCM(240, 321) = 25680

GCD(240, 321) = ( 240 x 321 ) / 25680

= 240 / 321

= 240

Step2:

LCM(3, 389) = 1167

GCD(3, 389) = ( 3 x 389 ) / 1167

= 3 / 389

= 3

Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

So, Greatest Common Divisor of 240, 321, 389, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 824, 494, 979
• GCD of 290, 427, 583, 157
• GCD of 852, 186, 963, 335
• GCD of 836, 608, 414, 874
• GCD of 714, 577, 219, 832

Given numbers are 240, 321, 389, 342
The greatest common divisor of numbers 240, 321, 389, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 321, 389, 342 is 1.

1. What is the GCD of 240, 321, 389, 342?

GCD of given numbers 240, 321, 389, 342 is 1

2. How to calculate the greatest common divisor of 240, 321, 389, 342?

We can find the highest common divisor of 240, 321, 389, 342 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 240, 321, 389, 342 i.e 1.

3. How can I use the GCD of 240, 321, 389, 342Calculator?

Out the numbers 240, 321, 389, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.