GCD of 825, 102, 332, 436 Calculator

Given Input numbers are 825, 102, 332, 436

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 825, 102, 332, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 102, 332, 436 is 1.

Therefore, GCD of numbers 825, 102, 332, 436 is 1

Given Input Data is 825, 102, 332, 436

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 102 is 2 x 3 x 17

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 436 is 2 x 2 x 109

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, 102) = 28050

GCD(825, 102) = ( 825 x 102 ) / 28050

GCD(825, 102) = 84150 / 28050

GCD(825, 102) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 332

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

LCM(3, 332) = 996

GCD(3, 332) = ( 3 x 332 ) / 996

GCD(3, 332) = 996 / 996

GCD(3, 332) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 436

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

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

GCD(1, 436) = 436 / 436

GCD(1, 436) = 1

GCD of 825, 102, 332, 436 is 1

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1. What is the GCD of 825, 102, 332, 436?

GCD of 825, 102, 332, 436 is 1

2. Where do I get the detailed procedure to find GCD of 825, 102, 332, 436?

You can find a detailed procedure to find GCD of 825, 102, 332, 436 on our page.

3. How to find GCD of 825, 102, 332, 436 on a calculator?

You can find the GCD of 825, 102, 332, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.