GCD of 822, 389, 900, 644 Calculator

Given Input numbers are 822, 389, 900, 644

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

Divisors of 822 :

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

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

Divisors of 389 :

The positive integer divisors of 389 that completely divides 389 are.

1, 389

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 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (822, 389, 900, 644) = 1.

Given numbers are 822, 389, 900, 644

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 389 are 389

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

Prime factors of 644 are 2 x 2 x 7 x 23

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

Given numbers are 822, 389, 900, 644

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

Apply this formula for all numbers.

Step1:

LCM(822, 389) = 319758

GCD(822, 389) = ( 822 x 389 ) / 319758

= 822 / 389

= 822

Step2:

LCM(1, 900) = 900

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

= 1 / 900

= 1

Step3:

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

= 1 / 644

= 1

So, Greatest Common Divisor of 822, 389, 900, 644 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 282, 585, 985
• GCD of 100, 408, 610, 952
• GCD of 938, 333, 791, 476
• GCD of 826, 866, 550, 850
• GCD of 173, 827, 720, 472

Given numbers are 822, 389, 900, 644
The greatest common divisor of numbers 822, 389, 900, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 389, 900, 644 is 1.

1. What is the GCD of 822, 389, 900, 644?

GCD of given numbers 822, 389, 900, 644 is 1

2. How to calculate the greatest common divisor of 822, 389, 900, 644?

We can find the highest common divisor of 822, 389, 900, 644 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 822, 389, 900, 644 i.e 1.

3. How can I use the GCD of 822, 389, 900, 644Calculator?

Out the numbers 822, 389, 900, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.