GCD of 741, 828, 270, 433 Calculator

Given Input numbers are 741, 828, 270, 433

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Greatest Common Divisior

We found the divisors of 741, 828, 270, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 828, 270, 433 is 1.

Therefore, GCD of numbers 741, 828, 270, 433 is 1

Given Input Data is 741, 828, 270, 433

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 433 is 433

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(741, 828) = 204516

GCD(741, 828) = ( 741 x 828 ) / 204516

GCD(741, 828) = 613548 / 204516

GCD(741, 828) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 270

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

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

GCD(3, 270) = 810 / 270

GCD(3, 270) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 433

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

LCM(3, 433) = 1299

GCD(3, 433) = ( 3 x 433 ) / 1299

GCD(3, 433) = 1299 / 1299

GCD(3, 433) = 1

GCD of 741, 828, 270, 433 is 1

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1. What is the GCD of 741, 828, 270, 433?

GCD of 741, 828, 270, 433 is 1

2. Where do I get the detailed procedure to find GCD of 741, 828, 270, 433?

You can find a detailed procedure to find GCD of 741, 828, 270, 433 on our page.

3. How to find GCD of 741, 828, 270, 433 on a calculator?

You can find the GCD of 741, 828, 270, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.