GCD of 150, 822, 324, 990 Calculator

Given Input numbers are 150, 822, 324, 990

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 822 :

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

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (150, 822, 324, 990) = 6.

Given numbers are 150, 822, 324, 990

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 822 are 2 x 3 x 137

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 150, 822, 324, 990 is 6.

Given numbers are 150, 822, 324, 990

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

Apply this formula for all numbers.

Step1:

LCM(150, 822) = 20550

GCD(150, 822) = ( 150 x 822 ) / 20550

= 150 / 822

= 150

Step2:

LCM(6, 324) = 324

GCD(6, 324) = ( 6 x 324 ) / 324

= 6 / 324

= 6

Step3:

LCM(6, 990) = 990

GCD(6, 990) = ( 6 x 990 ) / 990

= 6 / 990

= 6

So, Greatest Common Divisor of 150, 822, 324, 990 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 859, 780, 446
• GCD of 921, 300, 317, 791
• GCD of 577, 625, 848, 933
• GCD of 638, 989, 142, 241
• GCD of 342, 389, 418, 859

Given numbers are 150, 822, 324, 990
The greatest common divisor of numbers 150, 822, 324, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 822, 324, 990 is 6.

1. What is the GCD of 150, 822, 324, 990?

GCD of given numbers 150, 822, 324, 990 is 6

2. How to calculate the greatest common divisor of 150, 822, 324, 990?

We can find the highest common divisor of 150, 822, 324, 990 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 150, 822, 324, 990 i.e 6.

3. How can I use the GCD of 150, 822, 324, 990Calculator?

Out the numbers 150, 822, 324, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.