GCD of 243, 750, 43, 442 Calculator

Given Input numbers are 243, 750, 43, 442

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 243, 750, 43, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 750, 43, 442 is 1.

Therefore, GCD of numbers 243, 750, 43, 442 is 1

Given Input Data is 243, 750, 43, 442

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 43 is 43

Prime Factorization of 442 is 2 x 13 x 17

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(243, 750) = 60750

GCD(243, 750) = ( 243 x 750 ) / 60750

GCD(243, 750) = 182250 / 60750

GCD(243, 750) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 43

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

LCM(3, 43) = 129

GCD(3, 43) = ( 3 x 43 ) / 129

GCD(3, 43) = 129 / 129

GCD(3, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 243, 750, 43, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 615, 98, 374
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• GCD of 844, 525, 87, 599

1. What is the GCD of 243, 750, 43, 442?

GCD of 243, 750, 43, 442 is 1

2. Where do I get the detailed procedure to find GCD of 243, 750, 43, 442?

You can find a detailed procedure to find GCD of 243, 750, 43, 442 on our page.

3. How to find GCD of 243, 750, 43, 442 on a calculator?

You can find the GCD of 243, 750, 43, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.