GCD of 150, 993, 83, 224 Calculator

Given Input numbers are 150, 993, 83, 224

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 150, 993, 83, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 993, 83, 224 is 1.

Therefore, GCD of numbers 150, 993, 83, 224 is 1

Given Input Data is 150, 993, 83, 224

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 993 is 3 x 331

Prime Factorization of 83 is 83

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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, 993) = 49650

GCD(150, 993) = ( 150 x 993 ) / 49650

GCD(150, 993) = 148950 / 49650

GCD(150, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 83

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

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

GCD(3, 83) = 249 / 249

GCD(3, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 150, 993, 83, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 328, 52, 142
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• GCD of 781, 628, 25, 778

1. What is the GCD of 150, 993, 83, 224?

GCD of 150, 993, 83, 224 is 1

2. Where do I get the detailed procedure to find GCD of 150, 993, 83, 224?

You can find a detailed procedure to find GCD of 150, 993, 83, 224 on our page.

3. How to find GCD of 150, 993, 83, 224 on a calculator?

You can find the GCD of 150, 993, 83, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.