GCD of 51, 106, 774, 253 Calculator

Given Input numbers are 51, 106, 774, 253

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 51, 106, 774, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 106, 774, 253 is 1.

Therefore, GCD of numbers 51, 106, 774, 253 is 1

Given Input Data is 51, 106, 774, 253

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 106 is 2 x 53

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 253 is 11 x 23

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, 106) = 5406

GCD(51, 106) = ( 51 x 106 ) / 5406

GCD(51, 106) = 5406 / 5406

GCD(51, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 51, 106, 774, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 351, 113, 401
• GCD of 46, 271, 683, 412
• GCD of 90, 573, 206, 832
• GCD of 17, 469, 299, 643
• GCD of 91, 394, 947, 912

1. What is the GCD of 51, 106, 774, 253?

GCD of 51, 106, 774, 253 is 1

2. Where do I get the detailed procedure to find GCD of 51, 106, 774, 253?

You can find a detailed procedure to find GCD of 51, 106, 774, 253 on our page.

3. How to find GCD of 51, 106, 774, 253 on a calculator?

You can find the GCD of 51, 106, 774, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.