GCD of 990, 116, 176, 412 Calculator

Given Input numbers are 990, 116, 176, 412

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (990, 116, 176, 412) = 2.

Given numbers are 990, 116, 176, 412

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 116 are 2 x 2 x 29

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 412 are 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 990, 116, 176, 412 is 2.

Given numbers are 990, 116, 176, 412

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

Apply this formula for all numbers.

Step1:

LCM(990, 116) = 57420

GCD(990, 116) = ( 990 x 116 ) / 57420

= 990 / 116

= 990

Step2:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2

Step3:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

So, Greatest Common Divisor of 990, 116, 176, 412 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 609, 698, 574, 710
• GCD of 175, 175, 754, 569
• GCD of 440, 401, 455, 968
• GCD of 102, 196, 779, 371
• GCD of 794, 383, 558, 106

Given numbers are 990, 116, 176, 412
The greatest common divisor of numbers 990, 116, 176, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 116, 176, 412 is 2.

1. What is the GCD of 990, 116, 176, 412?

GCD of given numbers 990, 116, 176, 412 is 2

2. How to calculate the greatest common divisor of 990, 116, 176, 412?

We can find the highest common divisor of 990, 116, 176, 412 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, 116, 176, 412 i.e 2.

3. How can I use the GCD of 990, 116, 176, 412Calculator?

Out the numbers 990, 116, 176, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.