GCD of 433, 402, 185, 180 Calculator

Given Input numbers are 433, 402, 185, 180

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

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 433, 402, 185, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 433, 402, 185, 180 is 1.

Therefore, GCD of numbers 433, 402, 185, 180 is 1

Given Input Data is 433, 402, 185, 180

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

Prime Factorization of 433 is 433

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 185 is 5 x 37

Prime Factorization of 180 is 2 x 2 x 3 x 3 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(433, 402) = 174066

GCD(433, 402) = ( 433 x 402 ) / 174066

GCD(433, 402) = 174066 / 174066

GCD(433, 402) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 433, 402, 185, 180 is 1

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1. What is the GCD of 433, 402, 185, 180?

GCD of 433, 402, 185, 180 is 1

2. Where do I get the detailed procedure to find GCD of 433, 402, 185, 180?

You can find a detailed procedure to find GCD of 433, 402, 185, 180 on our page.

3. How to find GCD of 433, 402, 185, 180 on a calculator?

You can find the GCD of 433, 402, 185, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.