GCD of 575, 972, 309, 990 Calculator

Given Input numbers are 575, 972, 309, 990

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

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (575, 972, 309, 990) = 1.

Given numbers are 575, 972, 309, 990

The list of prime factors of all numbers are

Prime factors of 575 are 5 x 5 x 23

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

Prime factors of 309 are 3 x 103

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 575, 972, 309, 990

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

Apply this formula for all numbers.

Step1:

LCM(575, 972) = 558900

GCD(575, 972) = ( 575 x 972 ) / 558900

= 575 / 972

= 575

Step2:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 575, 972, 309, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 696, 120, 922
• GCD of 994, 535, 153, 699
• GCD of 680, 619, 912, 150
• GCD of 531, 915, 779, 601
• GCD of 239, 518, 107, 730

Given numbers are 575, 972, 309, 990
The greatest common divisor of numbers 575, 972, 309, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 575, 972, 309, 990 is 1.

1. What is the GCD of 575, 972, 309, 990?

GCD of given numbers 575, 972, 309, 990 is 1

2. How to calculate the greatest common divisor of 575, 972, 309, 990?

We can find the highest common divisor of 575, 972, 309, 990 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 575, 972, 309, 990 i.e 1.

3. How can I use the GCD of 575, 972, 309, 990Calculator?

Out the numbers 575, 972, 309, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.