GCD of 584, 238, 355, 392 Calculator

Given Input numbers are 584, 238, 355, 392

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

GCD of numbers is the greatest common divisor

So, the GCD (584, 238, 355, 392) = 1.

Given numbers are 584, 238, 355, 392

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 238 are 2 x 7 x 17

Prime factors of 355 are 5 x 71

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

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

Given numbers are 584, 238, 355, 392

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

Apply this formula for all numbers.

Step1:

LCM(584, 238) = 69496

GCD(584, 238) = ( 584 x 238 ) / 69496

= 584 / 238

= 584

Step2:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2

Step3:

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

= 1 / 392

= 1

So, Greatest Common Divisor of 584, 238, 355, 392 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 126, 153, 701
• GCD of 591, 574, 842, 812
• GCD of 575, 215, 273, 162
• GCD of 388, 589, 964, 756
• GCD of 111, 583, 164, 520

Given numbers are 584, 238, 355, 392
The greatest common divisor of numbers 584, 238, 355, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 238, 355, 392 is 1.

1. What is the GCD of 584, 238, 355, 392?

GCD of given numbers 584, 238, 355, 392 is 1

2. How to calculate the greatest common divisor of 584, 238, 355, 392?

We can find the highest common divisor of 584, 238, 355, 392 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 584, 238, 355, 392 i.e 1.

3. How can I use the GCD of 584, 238, 355, 392Calculator?

Out the numbers 584, 238, 355, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.