GCD of 738, 560, 57, 333 Calculator

Given Input numbers are 738, 560, 57, 333

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 738, 560, 57, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 560, 57, 333 is 1.

Therefore, GCD of numbers 738, 560, 57, 333 is 1

Given Input Data is 738, 560, 57, 333

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 57 is 3 x 19

Prime Factorization of 333 is 3 x 3 x 37

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(738, 560) = 206640

GCD(738, 560) = ( 738 x 560 ) / 206640

GCD(738, 560) = 413280 / 206640

GCD(738, 560) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 333

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

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

GCD(1, 333) = 333 / 333

GCD(1, 333) = 1

GCD of 738, 560, 57, 333 is 1

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1. What is the GCD of 738, 560, 57, 333?

GCD of 738, 560, 57, 333 is 1

2. Where do I get the detailed procedure to find GCD of 738, 560, 57, 333?

You can find a detailed procedure to find GCD of 738, 560, 57, 333 on our page.

3. How to find GCD of 738, 560, 57, 333 on a calculator?

You can find the GCD of 738, 560, 57, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.