GCD of 310, 560, 825, 529 Calculator

Given Input numbers are 310, 560, 825, 529

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

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

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 310, 560, 825, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 560, 825, 529 is 1.

Therefore, GCD of numbers 310, 560, 825, 529 is 1

Given Input Data is 310, 560, 825, 529

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

Prime Factorization of 310 is 2 x 5 x 31

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

Prime Factorization of 529 is 23 x 23

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(310, 560) = 17360

GCD(310, 560) = ( 310 x 560 ) / 17360

GCD(310, 560) = 173600 / 17360

GCD(310, 560) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 825

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

LCM(10, 825) = 1650

GCD(10, 825) = ( 10 x 825 ) / 1650

GCD(10, 825) = 8250 / 1650

GCD(10, 825) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 529

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

LCM(5, 529) = 2645

GCD(5, 529) = ( 5 x 529 ) / 2645

GCD(5, 529) = 2645 / 2645

GCD(5, 529) = 1

GCD of 310, 560, 825, 529 is 1

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1. What is the GCD of 310, 560, 825, 529?

GCD of 310, 560, 825, 529 is 1

2. Where do I get the detailed procedure to find GCD of 310, 560, 825, 529?

You can find a detailed procedure to find GCD of 310, 560, 825, 529 on our page.

3. How to find GCD of 310, 560, 825, 529 on a calculator?

You can find the GCD of 310, 560, 825, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.