GCD of 524, 728, 45, 602 Calculator

Given Input numbers are 524, 728, 45, 602

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 524, 728, 45, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 728, 45, 602 is 1.

Therefore, GCD of numbers 524, 728, 45, 602 is 1

Given Input Data is 524, 728, 45, 602

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 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 602 is 2 x 7 x 43

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, 728) = 95368

GCD(524, 728) = ( 524 x 728 ) / 95368

GCD(524, 728) = 381472 / 95368

GCD(524, 728) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 45

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

LCM(4, 45) = 180

GCD(4, 45) = ( 4 x 45 ) / 180

GCD(4, 45) = 180 / 180

GCD(4, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 602

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

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

GCD(1, 602) = 602 / 602

GCD(1, 602) = 1

GCD of 524, 728, 45, 602 is 1

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1. What is the GCD of 524, 728, 45, 602?

GCD of 524, 728, 45, 602 is 1

2. Where do I get the detailed procedure to find GCD of 524, 728, 45, 602?

You can find a detailed procedure to find GCD of 524, 728, 45, 602 on our page.

3. How to find GCD of 524, 728, 45, 602 on a calculator?

You can find the GCD of 524, 728, 45, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.