GCD of 342, 458, 33, 744 Calculator

Given Input numbers are 342, 458, 33, 744

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 342, 458, 33, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 458, 33, 744 is 1.

Therefore, GCD of numbers 342, 458, 33, 744 is 1

Given Input Data is 342, 458, 33, 744

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 458 is 2 x 229

Prime Factorization of 33 is 3 x 11

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(342, 458) = 78318

GCD(342, 458) = ( 342 x 458 ) / 78318

GCD(342, 458) = 156636 / 78318

GCD(342, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 342, 458, 33, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 979, 41, 775
• GCD of 998, 343, 36, 682
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• GCD of 177, 323, 42, 104
• GCD of 830, 385, 45, 614

1. What is the GCD of 342, 458, 33, 744?

GCD of 342, 458, 33, 744 is 1

2. Where do I get the detailed procedure to find GCD of 342, 458, 33, 744?

You can find a detailed procedure to find GCD of 342, 458, 33, 744 on our page.

3. How to find GCD of 342, 458, 33, 744 on a calculator?

You can find the GCD of 342, 458, 33, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.