GCD of 742, 587, 23, 395 Calculator

Given Input numbers are 742, 587, 23, 395

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 742, 587, 23, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 587, 23, 395 is 1.

Therefore, GCD of numbers 742, 587, 23, 395 is 1

Given Input Data is 742, 587, 23, 395

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 587 is 587

Prime Factorization of 23 is 23

Prime Factorization of 395 is 5 x 79

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(742, 587) = 435554

GCD(742, 587) = ( 742 x 587 ) / 435554

GCD(742, 587) = 435554 / 435554

GCD(742, 587) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

GCD of 742, 587, 23, 395 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 818, 36, 209
• GCD of 905, 920, 33, 621
• GCD of 246, 229, 71, 610
• GCD of 327, 172, 65, 462
• GCD of 529, 144, 71, 570

1. What is the GCD of 742, 587, 23, 395?

GCD of 742, 587, 23, 395 is 1

2. Where do I get the detailed procedure to find GCD of 742, 587, 23, 395?

You can find a detailed procedure to find GCD of 742, 587, 23, 395 on our page.

3. How to find GCD of 742, 587, 23, 395 on a calculator?

You can find the GCD of 742, 587, 23, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.