GCD of 524, 664, 355 Calculator

Given Input numbers are 524, 664, 355

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 355

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

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 524, 664, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 664, 355 is 1.

Therefore, GCD of numbers 524, 664, 355 is 1

Given Input Data is 524, 664, 355

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 355 is 5 x 71

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(524, 664) = 86984

GCD(524, 664) = ( 524 x 664 ) / 86984

GCD(524, 664) = 347936 / 86984

GCD(524, 664) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 355

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

LCM(4, 355) = 1420

GCD(4, 355) = ( 4 x 355 ) / 1420

GCD(4, 355) = 1420 / 1420

GCD(4, 355) = 1

GCD of 524, 664, 355 is 1

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1. What is the GCD of 524, 664, 355?

GCD of 524, 664, 355 is 1

2. Where do I get the detailed procedure to find GCD of 524, 664, 355?

You can find a detailed procedure to find GCD of 524, 664, 355 on our page.

3. How to find GCD of 524, 664, 355 on a calculator?

You can find the GCD of 524, 664, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.