GCD of 355, 981, 54, 407 Calculator

Given Input numbers are 355, 981, 54, 407

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 355, 981, 54, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 981, 54, 407 is 1.

Therefore, GCD of numbers 355, 981, 54, 407 is 1

Given Input Data is 355, 981, 54, 407

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 407 is 11 x 37

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(355, 981) = 348255

GCD(355, 981) = ( 355 x 981 ) / 348255

GCD(355, 981) = 348255 / 348255

GCD(355, 981) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 355, 981, 54, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 143, 28, 612
• GCD of 539, 995, 48, 190
• GCD of 246, 430, 34, 926
• GCD of 529, 954, 86, 775
• GCD of 105, 391, 17, 755

1. What is the GCD of 355, 981, 54, 407?

GCD of 355, 981, 54, 407 is 1

2. Where do I get the detailed procedure to find GCD of 355, 981, 54, 407?

You can find a detailed procedure to find GCD of 355, 981, 54, 407 on our page.

3. How to find GCD of 355, 981, 54, 407 on a calculator?

You can find the GCD of 355, 981, 54, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.