GCD of 990, 918, 894, 252 Calculator

Given Input numbers are 990, 918, 894, 252

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

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (990, 918, 894, 252) = 6.

Given numbers are 990, 918, 894, 252

The list of prime factors of all numbers are

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

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 894 are 2 x 3 x 149

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 990, 918, 894, 252 is 6.

Given numbers are 990, 918, 894, 252

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

Apply this formula for all numbers.

Step1:

LCM(990, 918) = 50490

GCD(990, 918) = ( 990 x 918 ) / 50490

= 990 / 918

= 990

Step2:

LCM(18, 894) = 2682

GCD(18, 894) = ( 18 x 894 ) / 2682

= 18 / 894

= 18

Step3:

LCM(6, 252) = 252

GCD(6, 252) = ( 6 x 252 ) / 252

= 6 / 252

= 6

So, Greatest Common Divisor of 990, 918, 894, 252 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 146, 724, 298
• GCD of 944, 698, 251, 243
• GCD of 558, 870, 202, 629
• GCD of 200, 190, 823, 153
• GCD of 933, 143, 551, 434

Given numbers are 990, 918, 894, 252
The greatest common divisor of numbers 990, 918, 894, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 918, 894, 252 is 6.

1. What is the GCD of 990, 918, 894, 252?

GCD of given numbers 990, 918, 894, 252 is 6

2. How to calculate the greatest common divisor of 990, 918, 894, 252?

We can find the highest common divisor of 990, 918, 894, 252 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 990, 918, 894, 252 i.e 6.

3. How can I use the GCD of 990, 918, 894, 252Calculator?

Out the numbers 990, 918, 894, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.