GCD of 51, 321, 685, 274 Calculator

Given Input numbers are 51, 321, 685, 274

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

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 51, 321, 685, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 321, 685, 274 is 1.

Therefore, GCD of numbers 51, 321, 685, 274 is 1

Given Input Data is 51, 321, 685, 274

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 321 is 3 x 107

Prime Factorization of 685 is 5 x 137

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(51, 321) = 5457

GCD(51, 321) = ( 51 x 321 ) / 5457

GCD(51, 321) = 16371 / 5457

GCD(51, 321) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 685

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

LCM(3, 685) = 2055

GCD(3, 685) = ( 3 x 685 ) / 2055

GCD(3, 685) = 2055 / 2055

GCD(3, 685) = 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 51, 321, 685, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 470, 856, 523
• GCD of 85, 188, 343, 162
• GCD of 14, 432, 253, 667
• GCD of 50, 965, 162, 623
• GCD of 29, 705, 266, 103

1. What is the GCD of 51, 321, 685, 274?

GCD of 51, 321, 685, 274 is 1

2. Where do I get the detailed procedure to find GCD of 51, 321, 685, 274?

You can find a detailed procedure to find GCD of 51, 321, 685, 274 on our page.

3. How to find GCD of 51, 321, 685, 274 on a calculator?

You can find the GCD of 51, 321, 685, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.