GCD of 804, 435, 827, 780 Calculator

Given Input numbers are 804, 435, 827, 780

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 804, 435, 827, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 435, 827, 780 is 1.

Therefore, GCD of numbers 804, 435, 827, 780 is 1

Given Input Data is 804, 435, 827, 780

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 827 is 827

Prime Factorization of 780 is 2 x 2 x 3 x 5 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(804, 435) = 116580

GCD(804, 435) = ( 804 x 435 ) / 116580

GCD(804, 435) = 349740 / 116580

GCD(804, 435) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 827

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

LCM(3, 827) = 2481

GCD(3, 827) = ( 3 x 827 ) / 2481

GCD(3, 827) = 2481 / 2481

GCD(3, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 804, 435, 827, 780 is 1

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1. What is the GCD of 804, 435, 827, 780?

GCD of 804, 435, 827, 780 is 1

2. Where do I get the detailed procedure to find GCD of 804, 435, 827, 780?

You can find a detailed procedure to find GCD of 804, 435, 827, 780 on our page.

3. How to find GCD of 804, 435, 827, 780 on a calculator?

You can find the GCD of 804, 435, 827, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.