GCD of 406, 675, 159, 996 Calculator

Given Input numbers are 406, 675, 159, 996

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 406, 675, 159, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 675, 159, 996 is 1.

Therefore, GCD of numbers 406, 675, 159, 996 is 1

Given Input Data is 406, 675, 159, 996

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 159 is 3 x 53

Prime Factorization of 996 is 2 x 2 x 3 x 83

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(406, 675) = 274050

GCD(406, 675) = ( 406 x 675 ) / 274050

GCD(406, 675) = 274050 / 274050

GCD(406, 675) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 406, 675, 159, 996 is 1

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1. What is the GCD of 406, 675, 159, 996?

GCD of 406, 675, 159, 996 is 1

2. Where do I get the detailed procedure to find GCD of 406, 675, 159, 996?

You can find a detailed procedure to find GCD of 406, 675, 159, 996 on our page.

3. How to find GCD of 406, 675, 159, 996 on a calculator?

You can find the GCD of 406, 675, 159, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.