GCD of 433, 900, 803, 142 Calculator

Given Input numbers are 433, 900, 803, 142

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 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 433, 900, 803, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 433, 900, 803, 142 is 1.

Therefore, GCD of numbers 433, 900, 803, 142 is 1

Given Input Data is 433, 900, 803, 142

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

Prime Factorization of 433 is 433

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 803 is 11 x 73

Prime Factorization of 142 is 2 x 71

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, 900) = 389700

GCD(433, 900) = ( 433 x 900 ) / 389700

GCD(433, 900) = 389700 / 389700

GCD(433, 900) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 803

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

LCM(1, 803) = 803

GCD(1, 803) = ( 1 x 803 ) / 803

GCD(1, 803) = 803 / 803

GCD(1, 803) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 433, 900, 803, 142 is 1

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1. What is the GCD of 433, 900, 803, 142?

GCD of 433, 900, 803, 142 is 1

2. Where do I get the detailed procedure to find GCD of 433, 900, 803, 142?

You can find a detailed procedure to find GCD of 433, 900, 803, 142 on our page.

3. How to find GCD of 433, 900, 803, 142 on a calculator?

You can find the GCD of 433, 900, 803, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.