GCD of 120, 812, 570, 999 Calculator

Given Input numbers are 120, 812, 570, 999

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

GCD of numbers is the greatest common divisor

So, the GCD (120, 812, 570, 999) = 1.

Given numbers are 120, 812, 570, 999

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 999 are 3 x 3 x 3 x 37

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

Given numbers are 120, 812, 570, 999

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

Apply this formula for all numbers.

Step1:

LCM(120, 812) = 24360

GCD(120, 812) = ( 120 x 812 ) / 24360

= 120 / 812

= 120

Step2:

LCM(4, 570) = 1140

GCD(4, 570) = ( 4 x 570 ) / 1140

= 4 / 570

= 4

Step3:

LCM(2, 999) = 1998

GCD(2, 999) = ( 2 x 999 ) / 1998

= 2 / 999

= 2

So, Greatest Common Divisor of 120, 812, 570, 999 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 298, 205, 303
• GCD of 606, 164, 732, 468
• GCD of 372, 588, 833, 983
• GCD of 496, 515, 931, 409
• GCD of 269, 292, 493, 384

Given numbers are 120, 812, 570, 999
The greatest common divisor of numbers 120, 812, 570, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 812, 570, 999 is 1.

1. What is the GCD of 120, 812, 570, 999?

GCD of given numbers 120, 812, 570, 999 is 1

2. How to calculate the greatest common divisor of 120, 812, 570, 999?

We can find the highest common divisor of 120, 812, 570, 999 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 120, 812, 570, 999 i.e 1.

3. How can I use the GCD of 120, 812, 570, 999Calculator?

Out the numbers 120, 812, 570, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.