GCD of 733, 162, 352, 456 Calculator

Given Input numbers are 733, 162, 352, 456

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

Divisors of 733

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

1, 733

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 733, 162, 352, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 162, 352, 456 is 1.

Therefore, GCD of numbers 733, 162, 352, 456 is 1

Given Input Data is 733, 162, 352, 456

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

Prime Factorization of 733 is 733

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(733, 162) = 118746

GCD(733, 162) = ( 733 x 162 ) / 118746

GCD(733, 162) = 118746 / 118746

GCD(733, 162) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 733, 162, 352, 456 is 1

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1. What is the GCD of 733, 162, 352, 456?

GCD of 733, 162, 352, 456 is 1

2. Where do I get the detailed procedure to find GCD of 733, 162, 352, 456?

You can find a detailed procedure to find GCD of 733, 162, 352, 456 on our page.

3. How to find GCD of 733, 162, 352, 456 on a calculator?

You can find the GCD of 733, 162, 352, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.