GCD of 90, 177, 194, 486 Calculator

Given Input numbers are 90, 177, 194, 486

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 90, 177, 194, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 177, 194, 486 is 1.

Therefore, GCD of numbers 90, 177, 194, 486 is 1

Given Input Data is 90, 177, 194, 486

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 177 is 3 x 59

Prime Factorization of 194 is 2 x 97

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

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(90, 177) = 5310

GCD(90, 177) = ( 90 x 177 ) / 5310

GCD(90, 177) = 15930 / 5310

GCD(90, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 194

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

LCM(3, 194) = 582

GCD(3, 194) = ( 3 x 194 ) / 582

GCD(3, 194) = 582 / 582

GCD(3, 194) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 486

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

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

GCD(1, 486) = 486 / 486

GCD(1, 486) = 1

GCD of 90, 177, 194, 486 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 622, 146, 928
• GCD of 22, 745, 372, 753
• GCD of 86, 748, 942, 897
• GCD of 54, 164, 142, 274
• GCD of 17, 963, 282, 452

1. What is the GCD of 90, 177, 194, 486?

GCD of 90, 177, 194, 486 is 1

2. Where do I get the detailed procedure to find GCD of 90, 177, 194, 486?

You can find a detailed procedure to find GCD of 90, 177, 194, 486 on our page.

3. How to find GCD of 90, 177, 194, 486 on a calculator?

You can find the GCD of 90, 177, 194, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.