GCD of 990, 936, 117, 132 Calculator

Given Input numbers are 990, 936, 117, 132

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 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (990, 936, 117, 132) = 3.

Given numbers are 990, 936, 117, 132

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 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 117 are 3 x 3 x 13

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 990, 936, 117, 132 is 3.

Given numbers are 990, 936, 117, 132

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

Apply this formula for all numbers.

Step1:

LCM(990, 936) = 51480

GCD(990, 936) = ( 990 x 936 ) / 51480

= 990 / 936

= 990

Step2:

LCM(18, 117) = 234

GCD(18, 117) = ( 18 x 117 ) / 234

= 18 / 117

= 18

Step3:

LCM(9, 132) = 396

GCD(9, 132) = ( 9 x 132 ) / 396

= 9 / 132

= 9

So, Greatest Common Divisor of 990, 936, 117, 132 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 872, 145, 861
• GCD of 119, 165, 575, 269
• GCD of 868, 500, 491, 954
• GCD of 883, 794, 513, 657
• GCD of 646, 947, 328, 469

Given numbers are 990, 936, 117, 132
The greatest common divisor of numbers 990, 936, 117, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 936, 117, 132 is 3.

1. What is the GCD of 990, 936, 117, 132?

GCD of given numbers 990, 936, 117, 132 is 3

2. How to calculate the greatest common divisor of 990, 936, 117, 132?

We can find the highest common divisor of 990, 936, 117, 132 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, 936, 117, 132 i.e 3.

3. How can I use the GCD of 990, 936, 117, 132Calculator?

Out the numbers 990, 936, 117, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.