GCD of 344, 580, 390, 109 Calculator

Given Input numbers are 344, 580, 390, 109

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

Divisors of 344 :

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

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (344, 580, 390, 109) = 1.

Given numbers are 344, 580, 390, 109

The list of prime factors of all numbers are

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

Prime factors of 580 are 2 x 2 x 5 x 29

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

Prime factors of 109 are 109

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

Given numbers are 344, 580, 390, 109

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

Apply this formula for all numbers.

Step1:

LCM(344, 580) = 49880

GCD(344, 580) = ( 344 x 580 ) / 49880

= 344 / 580

= 344

Step2:

LCM(4, 390) = 780

GCD(4, 390) = ( 4 x 390 ) / 780

= 4 / 390

= 4

Step3:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

So, Greatest Common Divisor of 344, 580, 390, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 739, 400, 586
• GCD of 924, 937, 354, 194
• GCD of 140, 252, 140, 181
• GCD of 235, 206, 794, 682
• GCD of 763, 991, 641, 591

Given numbers are 344, 580, 390, 109
The greatest common divisor of numbers 344, 580, 390, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 580, 390, 109 is 1.

1. What is the GCD of 344, 580, 390, 109?

GCD of given numbers 344, 580, 390, 109 is 1

2. How to calculate the greatest common divisor of 344, 580, 390, 109?

We can find the highest common divisor of 344, 580, 390, 109 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 344, 580, 390, 109 i.e 1.

3. How can I use the GCD of 344, 580, 390, 109Calculator?

Out the numbers 344, 580, 390, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.