GCD of 500, 660, 999, 252 Calculator

Given Input numbers are 500, 660, 999, 252

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 999 :

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

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (500, 660, 999, 252) = 1.

Given numbers are 500, 660, 999, 252

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

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

Given numbers are 500, 660, 999, 252

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

Apply this formula for all numbers.

Step1:

LCM(500, 660) = 16500

GCD(500, 660) = ( 500 x 660 ) / 16500

= 500 / 660

= 500

Step2:

LCM(20, 999) = 19980

GCD(20, 999) = ( 20 x 999 ) / 19980

= 20 / 999

= 20

Step3:

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

= 1 / 252

= 1

So, Greatest Common Divisor of 500, 660, 999, 252 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 268, 658, 892
• GCD of 142, 172, 576, 992
• GCD of 461, 209, 134, 966
• GCD of 100, 728, 390, 106
• GCD of 317, 622, 723, 320

Given numbers are 500, 660, 999, 252
The greatest common divisor of numbers 500, 660, 999, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 660, 999, 252 is 1.

1. What is the GCD of 500, 660, 999, 252?

GCD of given numbers 500, 660, 999, 252 is 1

2. How to calculate the greatest common divisor of 500, 660, 999, 252?

We can find the highest common divisor of 500, 660, 999, 252 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 500, 660, 999, 252 i.e 1.

3. How can I use the GCD of 500, 660, 999, 252Calculator?

Out the numbers 500, 660, 999, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.