GCD of 153, 366, 90, 161 Calculator

Given Input numbers are 153, 366, 90, 161

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 153, 366, 90, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 366, 90, 161 is 1.

Therefore, GCD of numbers 153, 366, 90, 161 is 1

Given Input Data is 153, 366, 90, 161

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 366 is 2 x 3 x 61

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

Prime Factorization of 161 is 7 x 23

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(153, 366) = 18666

GCD(153, 366) = ( 153 x 366 ) / 18666

GCD(153, 366) = 55998 / 18666

GCD(153, 366) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 161

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

LCM(3, 161) = 483

GCD(3, 161) = ( 3 x 161 ) / 483

GCD(3, 161) = 483 / 483

GCD(3, 161) = 1

GCD of 153, 366, 90, 161 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 752, 74, 744
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• GCD of 504, 695, 68, 599

1. What is the GCD of 153, 366, 90, 161?

GCD of 153, 366, 90, 161 is 1

2. Where do I get the detailed procedure to find GCD of 153, 366, 90, 161?

You can find a detailed procedure to find GCD of 153, 366, 90, 161 on our page.

3. How to find GCD of 153, 366, 90, 161 on a calculator?

You can find the GCD of 153, 366, 90, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.