GCD of 369, 351, 304, 586 Calculator

Given Input numbers are 369, 351, 304, 586

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 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

GCD of numbers is the greatest common divisor

So, the GCD (369, 351, 304, 586) = 1.

Given numbers are 369, 351, 304, 586

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 586 are 2 x 293

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

Given numbers are 369, 351, 304, 586

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

Apply this formula for all numbers.

Step1:

LCM(369, 351) = 14391

GCD(369, 351) = ( 369 x 351 ) / 14391

= 369 / 351

= 369

Step2:

LCM(9, 304) = 2736

GCD(9, 304) = ( 9 x 304 ) / 2736

= 9 / 304

= 9

Step3:

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

= 1 / 586

= 1

So, Greatest Common Divisor of 369, 351, 304, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 877, 451, 311
• GCD of 516, 458, 560, 527
• GCD of 487, 428, 207, 349
• GCD of 724, 841, 845, 524
• GCD of 663, 840, 436, 143

Given numbers are 369, 351, 304, 586
The greatest common divisor of numbers 369, 351, 304, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 351, 304, 586 is 1.

1. What is the GCD of 369, 351, 304, 586?

GCD of given numbers 369, 351, 304, 586 is 1

2. How to calculate the greatest common divisor of 369, 351, 304, 586?

We can find the highest common divisor of 369, 351, 304, 586 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, 351, 304, 586 i.e 1.

3. How can I use the GCD of 369, 351, 304, 586Calculator?

Out the numbers 369, 351, 304, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.