GCD of 150, 554, 21, 744 Calculator

Given Input numbers are 150, 554, 21, 744

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 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 150, 554, 21, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 554, 21, 744 is 1.

Therefore, GCD of numbers 150, 554, 21, 744 is 1

Given Input Data is 150, 554, 21, 744

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 554 is 2 x 277

Prime Factorization of 21 is 3 x 7

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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, 554) = 41550

GCD(150, 554) = ( 150 x 554 ) / 41550

GCD(150, 554) = 83100 / 41550

GCD(150, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 150, 554, 21, 744 is 1

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• GCD of 332, 466, 36, 661
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1. What is the GCD of 150, 554, 21, 744?

GCD of 150, 554, 21, 744 is 1

2. Where do I get the detailed procedure to find GCD of 150, 554, 21, 744?

You can find a detailed procedure to find GCD of 150, 554, 21, 744 on our page.

3. How to find GCD of 150, 554, 21, 744 on a calculator?

You can find the GCD of 150, 554, 21, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.