GCD of 804, 422, 152, 236 Calculator

Given Input numbers are 804, 422, 152, 236

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 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Greatest Common Divisior

We found the divisors of 804, 422, 152, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 422, 152, 236 is 2.

Therefore, GCD of numbers 804, 422, 152, 236 is 2

Given Input Data is 804, 422, 152, 236

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 422 is 2 x 211

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 236 is 2 x 2 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 422) = 169644

GCD(804, 422) = ( 804 x 422 ) / 169644

GCD(804, 422) = 339288 / 169644

GCD(804, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 152

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

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

GCD(2, 152) = 304 / 152

GCD(2, 152) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 236

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

LCM(2, 236) = 236

GCD(2, 236) = ( 2 x 236 ) / 236

GCD(2, 236) = 472 / 236

GCD(2, 236) = 2

GCD of 804, 422, 152, 236 is 2

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1. What is the GCD of 804, 422, 152, 236?

GCD of 804, 422, 152, 236 is 2

2. Where do I get the detailed procedure to find GCD of 804, 422, 152, 236?

You can find a detailed procedure to find GCD of 804, 422, 152, 236 on our page.

3. How to find GCD of 804, 422, 152, 236 on a calculator?

You can find the GCD of 804, 422, 152, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.