GCD of 274, 454, 18, 937 Calculator

Given Input numbers are 274, 454, 18, 937

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

Divisors of 274

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

1, 2, 137, 274

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 937

List of positive integer divisors of 937 that divides 937 without a remainder.

1, 937

Greatest Common Divisior

We found the divisors of 274, 454, 18, 937 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 454, 18, 937 is 1.

Therefore, GCD of numbers 274, 454, 18, 937 is 1

Given Input Data is 274, 454, 18, 937

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 454 is 2 x 227

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 937 is 937

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(274, 454) = 62198

GCD(274, 454) = ( 274 x 454 ) / 62198

GCD(274, 454) = 124396 / 62198

GCD(274, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 937

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

LCM(2, 937) = 1874

GCD(2, 937) = ( 2 x 937 ) / 1874

GCD(2, 937) = 1874 / 1874

GCD(2, 937) = 1

GCD of 274, 454, 18, 937 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 347, 48, 518
• GCD of 231, 391, 48, 917
• GCD of 235, 296, 50, 134
• GCD of 230, 462, 81, 669
• GCD of 644, 637, 23, 536

1. What is the GCD of 274, 454, 18, 937?

GCD of 274, 454, 18, 937 is 1

2. Where do I get the detailed procedure to find GCD of 274, 454, 18, 937?

You can find a detailed procedure to find GCD of 274, 454, 18, 937 on our page.

3. How to find GCD of 274, 454, 18, 937 on a calculator?

You can find the GCD of 274, 454, 18, 937 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.