GCD of 513, 644, 358 Calculator

Given Input numbers are 513, 644, 358

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 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 513, 644, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 644, 358 is 1.

Therefore, GCD of numbers 513, 644, 358 is 1

Given Input Data is 513, 644, 358

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 644 is 2 x 2 x 7 x 23

Prime Factorization of 358 is 2 x 179

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, 644) = 330372

GCD(513, 644) = ( 513 x 644 ) / 330372

GCD(513, 644) = 330372 / 330372

GCD(513, 644) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 513, 644, 358 is 1

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1. What is the GCD of 513, 644, 358?

GCD of 513, 644, 358 is 1

2. Where do I get the detailed procedure to find GCD of 513, 644, 358?

You can find a detailed procedure to find GCD of 513, 644, 358 on our page.

3. How to find GCD of 513, 644, 358 on a calculator?

You can find the GCD of 513, 644, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.