GCD of 733, 538, 960, 355 Calculator

Given Input numbers are 733, 538, 960, 355

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 733, 538, 960, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 538, 960, 355 is 1.

Therefore, GCD of numbers 733, 538, 960, 355 is 1

Given Input Data is 733, 538, 960, 355

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

Prime Factorization of 733 is 733

Prime Factorization of 538 is 2 x 269

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 355 is 5 x 71

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, 538) = 394354

GCD(733, 538) = ( 733 x 538 ) / 394354

GCD(733, 538) = 394354 / 394354

GCD(733, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 733, 538, 960, 355 is 1

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1. What is the GCD of 733, 538, 960, 355?

GCD of 733, 538, 960, 355 is 1

2. Where do I get the detailed procedure to find GCD of 733, 538, 960, 355?

You can find a detailed procedure to find GCD of 733, 538, 960, 355 on our page.

3. How to find GCD of 733, 538, 960, 355 on a calculator?

You can find the GCD of 733, 538, 960, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.