GCD of 990, 406, 986, 152 Calculator

Given Input numbers are 990, 406, 986, 152

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 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

GCD of numbers is the greatest common divisor

So, the GCD (990, 406, 986, 152) = 2.

Given numbers are 990, 406, 986, 152

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 406 are 2 x 7 x 29

Prime factors of 986 are 2 x 17 x 29

Prime factors of 152 are 2 x 2 x 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 990, 406, 986, 152 is 2.

Given numbers are 990, 406, 986, 152

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

Apply this formula for all numbers.

Step1:

LCM(990, 406) = 200970

GCD(990, 406) = ( 990 x 406 ) / 200970

= 990 / 406

= 990

Step2:

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

= 2 / 986

= 2

Step3:

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

= 2 / 152

= 2

So, Greatest Common Divisor of 990, 406, 986, 152 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 989, 195, 697
• GCD of 764, 502, 301, 130
• GCD of 161, 740, 557, 753
• GCD of 291, 207, 537, 322
• GCD of 836, 152, 450, 259

Given numbers are 990, 406, 986, 152
The greatest common divisor of numbers 990, 406, 986, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 406, 986, 152 is 2.

1. What is the GCD of 990, 406, 986, 152?

GCD of given numbers 990, 406, 986, 152 is 2

2. How to calculate the greatest common divisor of 990, 406, 986, 152?

We can find the highest common divisor of 990, 406, 986, 152 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, 406, 986, 152 i.e 2.

3. How can I use the GCD of 990, 406, 986, 152Calculator?

Out the numbers 990, 406, 986, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.