GCD of 435, 187, 150, 289 Calculator

Given Input numbers are 435, 187, 150, 289

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

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 435, 187, 150, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 187, 150, 289 is 1.

Therefore, GCD of numbers 435, 187, 150, 289 is 1

Given Input Data is 435, 187, 150, 289

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

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 187 is 11 x 17

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 289 is 17 x 17

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(435, 187) = 81345

GCD(435, 187) = ( 435 x 187 ) / 81345

GCD(435, 187) = 81345 / 81345

GCD(435, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 435, 187, 150, 289 is 1

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1. What is the GCD of 435, 187, 150, 289?

GCD of 435, 187, 150, 289 is 1

2. Where do I get the detailed procedure to find GCD of 435, 187, 150, 289?

You can find a detailed procedure to find GCD of 435, 187, 150, 289 on our page.

3. How to find GCD of 435, 187, 150, 289 on a calculator?

You can find the GCD of 435, 187, 150, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.