GCD of 990, 258, 978, 169 Calculator

Given Input numbers are 990, 258, 978, 169

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 990, 258, 978, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 258, 978, 169 is 1.

Therefore, GCD of numbers 990, 258, 978, 169 is 1

Given Input Data is 990, 258, 978, 169

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 169 is 13 x 13

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(990, 258) = 42570

GCD(990, 258) = ( 990 x 258 ) / 42570

GCD(990, 258) = 255420 / 42570

GCD(990, 258) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 978

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

LCM(6, 978) = 978

GCD(6, 978) = ( 6 x 978 ) / 978

GCD(6, 978) = 5868 / 978

GCD(6, 978) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 169

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

LCM(6, 169) = 1014

GCD(6, 169) = ( 6 x 169 ) / 1014

GCD(6, 169) = 1014 / 1014

GCD(6, 169) = 1

GCD of 990, 258, 978, 169 is 1

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1. What is the GCD of 990, 258, 978, 169?

GCD of 990, 258, 978, 169 is 1

2. Where do I get the detailed procedure to find GCD of 990, 258, 978, 169?

You can find a detailed procedure to find GCD of 990, 258, 978, 169 on our page.

3. How to find GCD of 990, 258, 978, 169 on a calculator?

You can find the GCD of 990, 258, 978, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.