GCD of 513, 164, 16, 376 Calculator

Given Input numbers are 513, 164, 16, 376

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

Divisors of 513

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

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Greatest Common Divisior

We found the divisors of 513, 164, 16, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 164, 16, 376 is 1.

Therefore, GCD of numbers 513, 164, 16, 376 is 1

Given Input Data is 513, 164, 16, 376

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

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 376 is 2 x 2 x 2 x 47

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(513, 164) = 84132

GCD(513, 164) = ( 513 x 164 ) / 84132

GCD(513, 164) = 84132 / 84132

GCD(513, 164) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

GCD of 513, 164, 16, 376 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 407, 53, 279
• GCD of 528, 561, 52, 738
• GCD of 430, 254, 84, 455
• GCD of 360, 730, 45, 697
• GCD of 213, 962, 61, 331

1. What is the GCD of 513, 164, 16, 376?

GCD of 513, 164, 16, 376 is 1

2. Where do I get the detailed procedure to find GCD of 513, 164, 16, 376?

You can find a detailed procedure to find GCD of 513, 164, 16, 376 on our page.

3. How to find GCD of 513, 164, 16, 376 on a calculator?

You can find the GCD of 513, 164, 16, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.