GCD of 169, 564, 66, 804 Calculator

Given Input numbers are 169, 564, 66, 804

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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

Greatest Common Divisior

We found the divisors of 169, 564, 66, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 564, 66, 804 is 1.

Therefore, GCD of numbers 169, 564, 66, 804 is 1

Given Input Data is 169, 564, 66, 804

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 66 is 2 x 3 x 11

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

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(169, 564) = 95316

GCD(169, 564) = ( 169 x 564 ) / 95316

GCD(169, 564) = 95316 / 95316

GCD(169, 564) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

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

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

GCD of 169, 564, 66, 804 is 1

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1. What is the GCD of 169, 564, 66, 804?

GCD of 169, 564, 66, 804 is 1

2. Where do I get the detailed procedure to find GCD of 169, 564, 66, 804?

You can find a detailed procedure to find GCD of 169, 564, 66, 804 on our page.

3. How to find GCD of 169, 564, 66, 804 on a calculator?

You can find the GCD of 169, 564, 66, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.