GCD of 489, 822, 900, 247 Calculator

Given Input numbers are 489, 822, 900, 247

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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

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

Divisors of 247 :

The positive integer divisors of 247 that completely divides 247 are.

1, 13, 19, 247

GCD of numbers is the greatest common divisor

So, the GCD (489, 822, 900, 247) = 1.

Given numbers are 489, 822, 900, 247

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 822 are 2 x 3 x 137

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

Prime factors of 247 are 13 x 19

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

Given numbers are 489, 822, 900, 247

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

Apply this formula for all numbers.

Step1:

LCM(489, 822) = 133986

GCD(489, 822) = ( 489 x 822 ) / 133986

= 489 / 822

= 489

Step2:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

Step3:

LCM(3, 247) = 741

GCD(3, 247) = ( 3 x 247 ) / 741

= 3 / 247

= 3

So, Greatest Common Divisor of 489, 822, 900, 247 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 307, 267, 837
• GCD of 765, 807, 431, 967
• GCD of 504, 455, 744, 686
• GCD of 112, 479, 714, 392
• GCD of 551, 851, 948, 575

Given numbers are 489, 822, 900, 247
The greatest common divisor of numbers 489, 822, 900, 247 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 822, 900, 247 is 1.

1. What is the GCD of 489, 822, 900, 247?

GCD of given numbers 489, 822, 900, 247 is 1

2. How to calculate the greatest common divisor of 489, 822, 900, 247?

We can find the highest common divisor of 489, 822, 900, 247 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, 822, 900, 247 i.e 1.

3. How can I use the GCD of 489, 822, 900, 247Calculator?

Out the numbers 489, 822, 900, 247 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.