GCD of 186, 708, 804 Calculator

Given Input numbers are 186, 708, 804

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

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 186, 708, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 708, 804 is 6.

Therefore, GCD of numbers 186, 708, 804 is 6

Given Input Data is 186, 708, 804

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 708 is 2 x 2 x 3 x 59

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(186, 708) = 21948

GCD(186, 708) = ( 186 x 708 ) / 21948

GCD(186, 708) = 131688 / 21948

GCD(186, 708) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 804

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

LCM(6, 804) = 804

GCD(6, 804) = ( 6 x 804 ) / 804

GCD(6, 804) = 4824 / 804

GCD(6, 804) = 6

GCD of 186, 708, 804 is 6

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• GCD of 719, 278, 864
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1. What is the GCD of 186, 708, 804?

GCD of 186, 708, 804 is 6

2. Where do I get the detailed procedure to find GCD of 186, 708, 804?

You can find a detailed procedure to find GCD of 186, 708, 804 on our page.

3. How to find GCD of 186, 708, 804 on a calculator?

You can find the GCD of 186, 708, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.