GCD of 356, 122, 18, 513 Calculator

Given Input numbers are 356, 122, 18, 513

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 356, 122, 18, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 122, 18, 513 is 1.

Therefore, GCD of numbers 356, 122, 18, 513 is 1

Given Input Data is 356, 122, 18, 513

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 122 is 2 x 61

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(356, 122) = 21716

GCD(356, 122) = ( 356 x 122 ) / 21716

GCD(356, 122) = 43432 / 21716

GCD(356, 122) = 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 513

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

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

GCD(2, 513) = 1026 / 1026

GCD(2, 513) = 1

GCD of 356, 122, 18, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 776, 73, 568
• GCD of 155, 181, 31, 658
• GCD of 449, 623, 81, 587
• GCD of 557, 985, 24, 861
• GCD of 905, 474, 29, 870

1. What is the GCD of 356, 122, 18, 513?

GCD of 356, 122, 18, 513 is 1

2. Where do I get the detailed procedure to find GCD of 356, 122, 18, 513?

You can find a detailed procedure to find GCD of 356, 122, 18, 513 on our page.

3. How to find GCD of 356, 122, 18, 513 on a calculator?

You can find the GCD of 356, 122, 18, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.