GCD of 18, 743, 400, 338 Calculator

Given Input numbers are 18, 743, 400, 338

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 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 18, 743, 400, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 743, 400, 338 is 1.

Therefore, GCD of numbers 18, 743, 400, 338 is 1

Given Input Data is 18, 743, 400, 338

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 743 is 743

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 338 is 2 x 13 x 13

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, 743) = 13374

GCD(18, 743) = ( 18 x 743 ) / 13374

GCD(18, 743) = 13374 / 13374

GCD(18, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 18, 743, 400, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 626, 940, 552
• GCD of 30, 754, 822, 147
• GCD of 37, 668, 845, 429
• GCD of 16, 607, 344, 164
• GCD of 54, 968, 944, 642

1. What is the GCD of 18, 743, 400, 338?

GCD of 18, 743, 400, 338 is 1

2. Where do I get the detailed procedure to find GCD of 18, 743, 400, 338?

You can find a detailed procedure to find GCD of 18, 743, 400, 338 on our page.

3. How to find GCD of 18, 743, 400, 338 on a calculator?

You can find the GCD of 18, 743, 400, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.