GCD of 18, 286, 291, 745 Calculator

Given Input numbers are 18, 286, 291, 745

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 18, 286, 291, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 286, 291, 745 is 1.

Therefore, GCD of numbers 18, 286, 291, 745 is 1

Given Input Data is 18, 286, 291, 745

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 291 is 3 x 97

Prime Factorization of 745 is 5 x 149

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(18, 286) = 2574

GCD(18, 286) = ( 18 x 286 ) / 2574

GCD(18, 286) = 5148 / 2574

GCD(18, 286) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 291

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

LCM(2, 291) = 582

GCD(2, 291) = ( 2 x 291 ) / 582

GCD(2, 291) = 582 / 582

GCD(2, 291) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 18, 286, 291, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 259, 403, 397
• GCD of 58, 465, 667, 991
• GCD of 11, 966, 541, 106
• GCD of 64, 668, 302, 959
• GCD of 18, 860, 935, 607

1. What is the GCD of 18, 286, 291, 745?

GCD of 18, 286, 291, 745 is 1

2. Where do I get the detailed procedure to find GCD of 18, 286, 291, 745?

You can find a detailed procedure to find GCD of 18, 286, 291, 745 on our page.

3. How to find GCD of 18, 286, 291, 745 on a calculator?

You can find the GCD of 18, 286, 291, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.