GCD of 489, 516, 995, 900 Calculator

Given Input numbers are 489, 516, 995, 900

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 995 :

The positive integer divisors of 995 that completely divides 995 are.

1, 5, 199, 995

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (489, 516, 995, 900) = 1.

Given numbers are 489, 516, 995, 900

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 995 are 5 x 199

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 489, 516, 995, 900

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

Apply this formula for all numbers.

Step1:

LCM(489, 516) = 84108

GCD(489, 516) = ( 489 x 516 ) / 84108

= 489 / 516

= 489

Step2:

LCM(3, 995) = 2985

GCD(3, 995) = ( 3 x 995 ) / 2985

= 3 / 995

= 3

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 489, 516, 995, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 183, 549, 857
• GCD of 119, 400, 546, 711
• GCD of 263, 336, 650, 714
• GCD of 177, 933, 605, 109
• GCD of 291, 847, 816, 250

Given numbers are 489, 516, 995, 900
The greatest common divisor of numbers 489, 516, 995, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 516, 995, 900 is 1.

1. What is the GCD of 489, 516, 995, 900?

GCD of given numbers 489, 516, 995, 900 is 1

2. How to calculate the greatest common divisor of 489, 516, 995, 900?

We can find the highest common divisor of 489, 516, 995, 900 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, 516, 995, 900 i.e 1.

3. How can I use the GCD of 489, 516, 995, 900Calculator?

Out the numbers 489, 516, 995, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.