GCD of 170, 990, 146, 406 Calculator

Given Input numbers are 170, 990, 146, 406

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

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 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 406 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (170, 990, 146, 406) = 2.

Given numbers are 170, 990, 146, 406

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

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

Prime factors of 146 are 2 x 73

Prime factors of 406 are 2 x 7 x 29

The highest common occurrence is 2¹

Therefore, GCD of 170, 990, 146, 406 is 2.

Given numbers are 170, 990, 146, 406

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

Apply this formula for all numbers.

Step1:

LCM(170, 990) = 16830

GCD(170, 990) = ( 170 x 990 ) / 16830

= 170 / 990

= 170

Step2:

LCM(10, 146) = 730

GCD(10, 146) = ( 10 x 146 ) / 730

= 10 / 146

= 10

Step3:

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

= 2 / 406

= 2

So, Greatest Common Divisor of 170, 990, 146, 406 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 578, 426, 765
• GCD of 805, 559, 538, 455
• GCD of 587, 592, 510, 158
• GCD of 225, 886, 548, 350
• GCD of 268, 330, 374, 724

Given numbers are 170, 990, 146, 406
The greatest common divisor of numbers 170, 990, 146, 406 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 990, 146, 406 is 2.

1. What is the GCD of 170, 990, 146, 406?

GCD of given numbers 170, 990, 146, 406 is 2

2. How to calculate the greatest common divisor of 170, 990, 146, 406?

We can find the highest common divisor of 170, 990, 146, 406 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 170, 990, 146, 406 i.e 2.

3. How can I use the GCD of 170, 990, 146, 406Calculator?

Out the numbers 170, 990, 146, 406 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.