GCD of 586, 699, 17, 972 Calculator

Given Input numbers are 586, 699, 17, 972

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

Divisors of 586 :

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

1, 2, 293, 586

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 17 :

The positive integer divisors of 17 that completely divides 17 are.

1, 17

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 (586, 699, 17, 972) = 1.

Given numbers are 586, 699, 17, 972

The list of prime factors of all numbers are

Prime factors of 586 are 2 x 293

Prime factors of 699 are 3 x 233

Prime factors of 17 are 17

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 586, 699, 17, 972

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

Apply this formula for all numbers.

Step1:

LCM(586, 699) = 409614

GCD(586, 699) = ( 586 x 699 ) / 409614

= 586 / 699

= 586

Step2:

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

= 1 / 17

= 1

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 586, 699, 17, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 371, 83, 946
• GCD of 339, 436, 26, 343
• GCD of 183, 294, 51, 181
• GCD of 292, 393, 21, 565
• GCD of 488, 835, 68, 358

Given numbers are 586, 699, 17, 972
The greatest common divisor of numbers 586, 699, 17, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 586, 699, 17, 972 is 1.

1. What is the GCD of 586, 699, 17, 972?

GCD of given numbers 586, 699, 17, 972 is 1

2. How to calculate the greatest common divisor of 586, 699, 17, 972?

We can find the highest common divisor of 586, 699, 17, 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 586, 699, 17, 972 i.e 1.

3. How can I use the GCD of 586, 699, 17, 972Calculator?

Out the numbers 586, 699, 17, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.