GCD of 144, 471, 818, 950 Calculator

Given Input numbers are 144, 471, 818, 950

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Greatest Common Divisior

We found the divisors of 144, 471, 818, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 471, 818, 950 is 1.

Therefore, GCD of numbers 144, 471, 818, 950 is 1

Given Input Data is 144, 471, 818, 950

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 471 is 3 x 157

Prime Factorization of 818 is 2 x 409

Prime Factorization of 950 is 2 x 5 x 5 x 19

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(144, 471) = 22608

GCD(144, 471) = ( 144 x 471 ) / 22608

GCD(144, 471) = 67824 / 22608

GCD(144, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 818

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

LCM(3, 818) = 2454

GCD(3, 818) = ( 3 x 818 ) / 2454

GCD(3, 818) = 2454 / 2454

GCD(3, 818) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 950

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

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1

GCD of 144, 471, 818, 950 is 1

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1. What is the GCD of 144, 471, 818, 950?

GCD of 144, 471, 818, 950 is 1

2. Where do I get the detailed procedure to find GCD of 144, 471, 818, 950?

You can find a detailed procedure to find GCD of 144, 471, 818, 950 on our page.

3. How to find GCD of 144, 471, 818, 950 on a calculator?

You can find the GCD of 144, 471, 818, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.