GCD of 18, 391, 743, 274 Calculator

Given Input numbers are 18, 391, 743, 274

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 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 743

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

1, 743

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 18, 391, 743, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 391, 743, 274 is 1.

Therefore, GCD of numbers 18, 391, 743, 274 is 1

Given Input Data is 18, 391, 743, 274

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 391 is 17 x 23

Prime Factorization of 743 is 743

Prime Factorization of 274 is 2 x 137

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, 391) = 7038

GCD(18, 391) = ( 18 x 391 ) / 7038

GCD(18, 391) = 7038 / 7038

GCD(18, 391) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 18, 391, 743, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 333, 168, 460
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• GCD of 69, 744, 478, 308
• GCD of 32, 606, 507, 646

1. What is the GCD of 18, 391, 743, 274?

GCD of 18, 391, 743, 274 is 1

2. Where do I get the detailed procedure to find GCD of 18, 391, 743, 274?

You can find a detailed procedure to find GCD of 18, 391, 743, 274 on our page.

3. How to find GCD of 18, 391, 743, 274 on a calculator?

You can find the GCD of 18, 391, 743, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.