GCD of 489, 500, 972, 668 Calculator

Given Input numbers are 489, 500, 972, 668

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

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 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 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

GCD of numbers is the greatest common divisor

So, the GCD (489, 500, 972, 668) = 1.

Given numbers are 489, 500, 972, 668

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

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

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

Prime factors of 668 are 2 x 2 x 167

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

Given numbers are 489, 500, 972, 668

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

Apply this formula for all numbers.

Step1:

LCM(489, 500) = 244500

GCD(489, 500) = ( 489 x 500 ) / 244500

= 489 / 500

= 489

Step2:

LCM(1, 972) = 972

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

= 1 / 972

= 1

Step3:

LCM(1, 668) = 668

GCD(1, 668) = ( 1 x 668 ) / 668

= 1 / 668

= 1

So, Greatest Common Divisor of 489, 500, 972, 668 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 531, 662, 457
• GCD of 258, 136, 265, 164
• GCD of 148, 744, 214, 632
• GCD of 401, 314, 902, 225
• GCD of 571, 674, 539, 916

Given numbers are 489, 500, 972, 668
The greatest common divisor of numbers 489, 500, 972, 668 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 500, 972, 668 is 1.

1. What is the GCD of 489, 500, 972, 668?

GCD of given numbers 489, 500, 972, 668 is 1

2. How to calculate the greatest common divisor of 489, 500, 972, 668?

We can find the highest common divisor of 489, 500, 972, 668 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 489, 500, 972, 668 i.e 1.

3. How can I use the GCD of 489, 500, 972, 668Calculator?

Out the numbers 489, 500, 972, 668 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.