GCD of 369, 684, 517, 345 Calculator

Given Input numbers are 369, 684, 517, 345

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (369, 684, 517, 345) = 1.

Given numbers are 369, 684, 517, 345

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 517 are 11 x 47

Prime factors of 345 are 3 x 5 x 23

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

Given numbers are 369, 684, 517, 345

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

Apply this formula for all numbers.

Step1:

LCM(369, 684) = 28044

GCD(369, 684) = ( 369 x 684 ) / 28044

= 369 / 684

= 369

Step2:

LCM(9, 517) = 4653

GCD(9, 517) = ( 9 x 517 ) / 4653

= 9 / 517

= 9

Step3:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1

So, Greatest Common Divisor of 369, 684, 517, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 615, 132, 794
• GCD of 441, 324, 479, 242
• GCD of 337, 390, 329, 302
• GCD of 177, 133, 391, 515
• GCD of 442, 471, 173, 879

Given numbers are 369, 684, 517, 345
The greatest common divisor of numbers 369, 684, 517, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 684, 517, 345 is 1.

1. What is the GCD of 369, 684, 517, 345?

GCD of given numbers 369, 684, 517, 345 is 1

2. How to calculate the greatest common divisor of 369, 684, 517, 345?

We can find the highest common divisor of 369, 684, 517, 345 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 369, 684, 517, 345 i.e 1.

3. How can I use the GCD of 369, 684, 517, 345Calculator?

Out the numbers 369, 684, 517, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.