GCD of 764, 829, 39, 900 Calculator

Given Input numbers are 764, 829, 39, 900

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 764, 829, 39, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 829, 39, 900 is 1.

Therefore, GCD of numbers 764, 829, 39, 900 is 1

Given Input Data is 764, 829, 39, 900

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 829 is 829

Prime Factorization of 39 is 3 x 13

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(764, 829) = 633356

GCD(764, 829) = ( 764 x 829 ) / 633356

GCD(764, 829) = 633356 / 633356

GCD(764, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 764, 829, 39, 900 is 1

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1. What is the GCD of 764, 829, 39, 900?

GCD of 764, 829, 39, 900 is 1

2. Where do I get the detailed procedure to find GCD of 764, 829, 39, 900?

You can find a detailed procedure to find GCD of 764, 829, 39, 900 on our page.

3. How to find GCD of 764, 829, 39, 900 on a calculator?

You can find the GCD of 764, 829, 39, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.