GCD of 602, 928, 560, 825 Calculator

Given Input numbers are 602, 928, 560, 825

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

Divisors of 602

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

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 602, 928, 560, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 928, 560, 825 is 1.

Therefore, GCD of numbers 602, 928, 560, 825 is 1

Given Input Data is 602, 928, 560, 825

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

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(602, 928) = 279328

GCD(602, 928) = ( 602 x 928 ) / 279328

GCD(602, 928) = 558656 / 279328

GCD(602, 928) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 560

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

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

GCD(2, 560) = 1120 / 560

GCD(2, 560) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

GCD of 602, 928, 560, 825 is 1

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1. What is the GCD of 602, 928, 560, 825?

GCD of 602, 928, 560, 825 is 1

2. Where do I get the detailed procedure to find GCD of 602, 928, 560, 825?

You can find a detailed procedure to find GCD of 602, 928, 560, 825 on our page.

3. How to find GCD of 602, 928, 560, 825 on a calculator?

You can find the GCD of 602, 928, 560, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.