GCD of 825, 786, 165, 364 Calculator

Given Input numbers are 825, 786, 165, 364

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 825, 786, 165, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 786, 165, 364 is 1.

Therefore, GCD of numbers 825, 786, 165, 364 is 1

Given Input Data is 825, 786, 165, 364

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 786 is 2 x 3 x 131

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 364 is 2 x 2 x 7 x 13

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, 786) = 216150

GCD(825, 786) = ( 825 x 786 ) / 216150

GCD(825, 786) = 648450 / 216150

GCD(825, 786) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 165

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

LCM(3, 165) = 165

GCD(3, 165) = ( 3 x 165 ) / 165

GCD(3, 165) = 495 / 165

GCD(3, 165) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 364

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

LCM(3, 364) = 1092

GCD(3, 364) = ( 3 x 364 ) / 1092

GCD(3, 364) = 1092 / 1092

GCD(3, 364) = 1

GCD of 825, 786, 165, 364 is 1

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1. What is the GCD of 825, 786, 165, 364?

GCD of 825, 786, 165, 364 is 1

2. Where do I get the detailed procedure to find GCD of 825, 786, 165, 364?

You can find a detailed procedure to find GCD of 825, 786, 165, 364 on our page.

3. How to find GCD of 825, 786, 165, 364 on a calculator?

You can find the GCD of 825, 786, 165, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.