GCD of 405, 930, 970, 159 Calculator

Given Input numbers are 405, 930, 970, 159

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

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 159

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

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 405, 930, 970, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 930, 970, 159 is 1.

Therefore, GCD of numbers 405, 930, 970, 159 is 1

Given Input Data is 405, 930, 970, 159

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

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 159 is 3 x 53

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(405, 930) = 25110

GCD(405, 930) = ( 405 x 930 ) / 25110

GCD(405, 930) = 376650 / 25110

GCD(405, 930) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 970

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

LCM(15, 970) = 2910

GCD(15, 970) = ( 15 x 970 ) / 2910

GCD(15, 970) = 14550 / 2910

GCD(15, 970) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 159

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

LCM(5, 159) = 795

GCD(5, 159) = ( 5 x 159 ) / 795

GCD(5, 159) = 795 / 795

GCD(5, 159) = 1

GCD of 405, 930, 970, 159 is 1

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1. What is the GCD of 405, 930, 970, 159?

GCD of 405, 930, 970, 159 is 1

2. Where do I get the detailed procedure to find GCD of 405, 930, 970, 159?

You can find a detailed procedure to find GCD of 405, 930, 970, 159 on our page.

3. How to find GCD of 405, 930, 970, 159 on a calculator?

You can find the GCD of 405, 930, 970, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.