GCD of 972, 108, 584, 365 Calculator

Given Input numbers are 972, 108, 584, 365

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

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 584 :

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

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

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

GCD of numbers is the greatest common divisor

So, the GCD (972, 108, 584, 365) = 1.

Given numbers are 972, 108, 584, 365

The list of prime factors of all numbers are

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

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

Prime factors of 365 are 5 x 73

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

Given numbers are 972, 108, 584, 365

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

Apply this formula for all numbers.

Step1:

LCM(972, 108) = 972

GCD(972, 108) = ( 972 x 108 ) / 972

= 972 / 108

= 972

Step2:

LCM(108, 584) = 15768

GCD(108, 584) = ( 108 x 584 ) / 15768

= 108 / 584

= 108

Step3:

LCM(4, 365) = 1460

GCD(4, 365) = ( 4 x 365 ) / 1460

= 4 / 365

= 4

So, Greatest Common Divisor of 972, 108, 584, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 761, 791, 515
• GCD of 584, 136, 984, 604
• GCD of 794, 309, 996, 196
• GCD of 247, 101, 843, 641
• GCD of 370, 514, 629, 882

Given numbers are 972, 108, 584, 365
The greatest common divisor of numbers 972, 108, 584, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 108, 584, 365 is 1.

1. What is the GCD of 972, 108, 584, 365?

GCD of given numbers 972, 108, 584, 365 is 1

2. How to calculate the greatest common divisor of 972, 108, 584, 365?

We can find the highest common divisor of 972, 108, 584, 365 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 972, 108, 584, 365 i.e 1.

3. How can I use the GCD of 972, 108, 584, 365Calculator?

Out the numbers 972, 108, 584, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.