GCD of 187, 736, 74, 584 Calculator

Given Input numbers are 187, 736, 74, 584

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 187, 736, 74, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 736, 74, 584 is 1.

Therefore, GCD of numbers 187, 736, 74, 584 is 1

Given Input Data is 187, 736, 74, 584

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 74 is 2 x 37

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(187, 736) = 137632

GCD(187, 736) = ( 187 x 736 ) / 137632

GCD(187, 736) = 137632 / 137632

GCD(187, 736) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 187, 736, 74, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 468, 92, 104
• GCD of 566, 154, 72, 315
• GCD of 287, 171, 74, 972
• GCD of 456, 455, 44, 313
• GCD of 850, 458, 53, 381

1. What is the GCD of 187, 736, 74, 584?

GCD of 187, 736, 74, 584 is 1

2. Where do I get the detailed procedure to find GCD of 187, 736, 74, 584?

You can find a detailed procedure to find GCD of 187, 736, 74, 584 on our page.

3. How to find GCD of 187, 736, 74, 584 on a calculator?

You can find the GCD of 187, 736, 74, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.