GCD of 584, 355, 288, 972 Calculator

Given Input numbers are 584, 355, 288, 972

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 355 :

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

1, 5, 71, 355

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (584, 355, 288, 972) = 1.

Given numbers are 584, 355, 288, 972

The list of prime factors of all numbers are

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

Prime factors of 355 are 5 x 71

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 584, 355, 288, 972

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

Apply this formula for all numbers.

Step1:

LCM(584, 355) = 207320

GCD(584, 355) = ( 584 x 355 ) / 207320

= 584 / 355

= 584

Step2:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 584, 355, 288, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 731, 546, 662
• GCD of 367, 522, 823, 367
• GCD of 370, 150, 293, 199
• GCD of 877, 438, 245, 171
• GCD of 162, 948, 483, 441

Given numbers are 584, 355, 288, 972
The greatest common divisor of numbers 584, 355, 288, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 355, 288, 972 is 1.

1. What is the GCD of 584, 355, 288, 972?

GCD of given numbers 584, 355, 288, 972 is 1

2. How to calculate the greatest common divisor of 584, 355, 288, 972?

We can find the highest common divisor of 584, 355, 288, 972 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, 355, 288, 972 i.e 1.

3. How can I use the GCD of 584, 355, 288, 972Calculator?

Out the numbers 584, 355, 288, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.