GCD of 165, 363, 138, 400 Calculator

Given Input numbers are 165, 363, 138, 400

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 165, 363, 138, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 363, 138, 400 is 1.

Therefore, GCD of numbers 165, 363, 138, 400 is 1

Given Input Data is 165, 363, 138, 400

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(165, 363) = 1815

GCD(165, 363) = ( 165 x 363 ) / 1815

GCD(165, 363) = 59895 / 1815

GCD(165, 363) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 138

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

LCM(33, 138) = 1518

GCD(33, 138) = ( 33 x 138 ) / 1518

GCD(33, 138) = 4554 / 1518

GCD(33, 138) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 400

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

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

GCD(3, 400) = 1200 / 1200

GCD(3, 400) = 1

GCD of 165, 363, 138, 400 is 1

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1. What is the GCD of 165, 363, 138, 400?

GCD of 165, 363, 138, 400 is 1

2. Where do I get the detailed procedure to find GCD of 165, 363, 138, 400?

You can find a detailed procedure to find GCD of 165, 363, 138, 400 on our page.

3. How to find GCD of 165, 363, 138, 400 on a calculator?

You can find the GCD of 165, 363, 138, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.