GCD of 594, 754, 381, 138 Calculator

Given Input numbers are 594, 754, 381, 138

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

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 594, 754, 381, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 754, 381, 138 is 1.

Therefore, GCD of numbers 594, 754, 381, 138 is 1

Given Input Data is 594, 754, 381, 138

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

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 381 is 3 x 127

Prime Factorization of 138 is 2 x 3 x 23

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(594, 754) = 223938

GCD(594, 754) = ( 594 x 754 ) / 223938

GCD(594, 754) = 447876 / 223938

GCD(594, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 381

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

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

GCD(2, 381) = 762 / 762

GCD(2, 381) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 594, 754, 381, 138 is 1

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• GCD of 604, 718, 342, 380
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1. What is the GCD of 594, 754, 381, 138?

GCD of 594, 754, 381, 138 is 1

2. Where do I get the detailed procedure to find GCD of 594, 754, 381, 138?

You can find a detailed procedure to find GCD of 594, 754, 381, 138 on our page.

3. How to find GCD of 594, 754, 381, 138 on a calculator?

You can find the GCD of 594, 754, 381, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.