GCD of 500, 660, 489, 722 Calculator

Given Input numbers are 500, 660, 489, 722

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 489 :

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

1, 3, 163, 489

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (500, 660, 489, 722) = 1.

Given numbers are 500, 660, 489, 722

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 489 are 3 x 163

Prime factors of 722 are 2 x 19 x 19

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

Given numbers are 500, 660, 489, 722

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, 489) = 9780

GCD(20, 489) = ( 20 x 489 ) / 9780

= 20 / 489

= 20

Step3:

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

= 1 / 722

= 1

So, Greatest Common Divisor of 500, 660, 489, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 981, 685, 841
• GCD of 566, 529, 685, 669
• GCD of 769, 128, 455, 321
• GCD of 552, 310, 385, 887
• GCD of 102, 731, 379, 687

Given numbers are 500, 660, 489, 722
The greatest common divisor of numbers 500, 660, 489, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 660, 489, 722 is 1.

1. What is the GCD of 500, 660, 489, 722?

GCD of given numbers 500, 660, 489, 722 is 1

2. How to calculate the greatest common divisor of 500, 660, 489, 722?

We can find the highest common divisor of 500, 660, 489, 722 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, 489, 722 i.e 1.

3. How can I use the GCD of 500, 660, 489, 722Calculator?

Out the numbers 500, 660, 489, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.