GCD of 145, 586, 744, 187 Calculator

Given Input numbers are 145, 586, 744, 187

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

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

Divisors of 187

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

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 145, 586, 744, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 586, 744, 187 is 1.

Therefore, GCD of numbers 145, 586, 744, 187 is 1

Given Input Data is 145, 586, 744, 187

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 586 is 2 x 293

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

Prime Factorization of 187 is 11 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(145, 586) = 84970

GCD(145, 586) = ( 145 x 586 ) / 84970

GCD(145, 586) = 84970 / 84970

GCD(145, 586) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

GCD of 145, 586, 744, 187 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 450, 375, 247
• GCD of 984, 942, 935, 295
• GCD of 163, 390, 758, 975
• GCD of 407, 451, 644, 260
• GCD of 447, 361, 259, 698

1. What is the GCD of 145, 586, 744, 187?

GCD of 145, 586, 744, 187 is 1

2. Where do I get the detailed procedure to find GCD of 145, 586, 744, 187?

You can find a detailed procedure to find GCD of 145, 586, 744, 187 on our page.

3. How to find GCD of 145, 586, 744, 187 on a calculator?

You can find the GCD of 145, 586, 744, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.