GCD of 362, 733, 31, 162 Calculator

Given Input numbers are 362, 733, 31, 162

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

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

Greatest Common Divisior

We found the divisors of 362, 733, 31, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 733, 31, 162 is 1.

Therefore, GCD of numbers 362, 733, 31, 162 is 1

Given Input Data is 362, 733, 31, 162

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 733 is 733

Prime Factorization of 31 is 31

Prime Factorization of 162 is 2 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(362, 733) = 265346

GCD(362, 733) = ( 362 x 733 ) / 265346

GCD(362, 733) = 265346 / 265346

GCD(362, 733) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 362, 733, 31, 162 is 1

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1. What is the GCD of 362, 733, 31, 162?

GCD of 362, 733, 31, 162 is 1

2. Where do I get the detailed procedure to find GCD of 362, 733, 31, 162?

You can find a detailed procedure to find GCD of 362, 733, 31, 162 on our page.

3. How to find GCD of 362, 733, 31, 162 on a calculator?

You can find the GCD of 362, 733, 31, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.