GCD of 825, 236, 165, 579 Calculator

Given Input numbers are 825, 236, 165, 579

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

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 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Greatest Common Divisior

We found the divisors of 825, 236, 165, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 236, 165, 579 is 1.

Therefore, GCD of numbers 825, 236, 165, 579 is 1

Given Input Data is 825, 236, 165, 579

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

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

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 579 is 3 x 193

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(825, 236) = 194700

GCD(825, 236) = ( 825 x 236 ) / 194700

GCD(825, 236) = 194700 / 194700

GCD(825, 236) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 579

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

LCM(1, 579) = 579

GCD(1, 579) = ( 1 x 579 ) / 579

GCD(1, 579) = 579 / 579

GCD(1, 579) = 1

GCD of 825, 236, 165, 579 is 1

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1. What is the GCD of 825, 236, 165, 579?

GCD of 825, 236, 165, 579 is 1

2. Where do I get the detailed procedure to find GCD of 825, 236, 165, 579?

You can find a detailed procedure to find GCD of 825, 236, 165, 579 on our page.

3. How to find GCD of 825, 236, 165, 579 on a calculator?

You can find the GCD of 825, 236, 165, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.