GCD of 184, 407, 36, 754 Calculator

Given Input numbers are 184, 407, 36, 754

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 754

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

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

Greatest Common Divisior

We found the divisors of 184, 407, 36, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 407, 36, 754 is 1.

Therefore, GCD of numbers 184, 407, 36, 754 is 1

Given Input Data is 184, 407, 36, 754

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 407 is 11 x 37

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 754 is 2 x 13 x 29

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(184, 407) = 74888

GCD(184, 407) = ( 184 x 407 ) / 74888

GCD(184, 407) = 74888 / 74888

GCD(184, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 184, 407, 36, 754 is 1

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1. What is the GCD of 184, 407, 36, 754?

GCD of 184, 407, 36, 754 is 1

2. Where do I get the detailed procedure to find GCD of 184, 407, 36, 754?

You can find a detailed procedure to find GCD of 184, 407, 36, 754 on our page.

3. How to find GCD of 184, 407, 36, 754 on a calculator?

You can find the GCD of 184, 407, 36, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.