GCD of 18, 506, 778, 145 Calculator

Given Input numbers are 18, 506, 778, 145

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 145

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

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 18, 506, 778, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 506, 778, 145 is 1.

Therefore, GCD of numbers 18, 506, 778, 145 is 1

Given Input Data is 18, 506, 778, 145

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 506 is 2 x 11 x 23

Prime Factorization of 778 is 2 x 389

Prime Factorization of 145 is 5 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(18, 506) = 4554

GCD(18, 506) = ( 18 x 506 ) / 4554

GCD(18, 506) = 9108 / 4554

GCD(18, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 778

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

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

GCD(2, 778) = 1556 / 778

GCD(2, 778) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

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

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 1

GCD of 18, 506, 778, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 941, 910, 512
• GCD of 48, 572, 724, 793
• GCD of 43, 163, 926, 201
• GCD of 37, 787, 487, 560
• GCD of 93, 980, 958, 927

1. What is the GCD of 18, 506, 778, 145?

GCD of 18, 506, 778, 145 is 1

2. Where do I get the detailed procedure to find GCD of 18, 506, 778, 145?

You can find a detailed procedure to find GCD of 18, 506, 778, 145 on our page.

3. How to find GCD of 18, 506, 778, 145 on a calculator?

You can find the GCD of 18, 506, 778, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.