GCD of 150, 783, 23, 287 Calculator

Given Input numbers are 150, 783, 23, 287

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

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 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 150, 783, 23, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 783, 23, 287 is 1.

Therefore, GCD of numbers 150, 783, 23, 287 is 1

Given Input Data is 150, 783, 23, 287

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

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

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 23 is 23

Prime Factorization of 287 is 7 x 41

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(150, 783) = 39150

GCD(150, 783) = ( 150 x 783 ) / 39150

GCD(150, 783) = 117450 / 39150

GCD(150, 783) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 287

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

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

GCD(1, 287) = 287 / 287

GCD(1, 287) = 1

GCD of 150, 783, 23, 287 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 956, 41, 220
• GCD of 229, 276, 14, 674
• GCD of 384, 517, 20, 882
• GCD of 937, 502, 34, 634
• GCD of 103, 121, 96, 260

1. What is the GCD of 150, 783, 23, 287?

GCD of 150, 783, 23, 287 is 1

2. Where do I get the detailed procedure to find GCD of 150, 783, 23, 287?

You can find a detailed procedure to find GCD of 150, 783, 23, 287 on our page.

3. How to find GCD of 150, 783, 23, 287 on a calculator?

You can find the GCD of 150, 783, 23, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.