GCD of 990, 744, 83, 673 Calculator

Given Input numbers are 990, 744, 83, 673

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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

Divisors of 83

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

1, 83

Divisors of 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Greatest Common Divisior

We found the divisors of 990, 744, 83, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 744, 83, 673 is 1.

Therefore, GCD of numbers 990, 744, 83, 673 is 1

Given Input Data is 990, 744, 83, 673

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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

Prime Factorization of 83 is 83

Prime Factorization of 673 is 673

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(990, 744) = 122760

GCD(990, 744) = ( 990 x 744 ) / 122760

GCD(990, 744) = 736560 / 122760

GCD(990, 744) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 83

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

LCM(6, 83) = 498

GCD(6, 83) = ( 6 x 83 ) / 498

GCD(6, 83) = 498 / 498

GCD(6, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 673

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

LCM(1, 673) = 673

GCD(1, 673) = ( 1 x 673 ) / 673

GCD(1, 673) = 673 / 673

GCD(1, 673) = 1

GCD of 990, 744, 83, 673 is 1

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1. What is the GCD of 990, 744, 83, 673?

GCD of 990, 744, 83, 673 is 1

2. Where do I get the detailed procedure to find GCD of 990, 744, 83, 673?

You can find a detailed procedure to find GCD of 990, 744, 83, 673 on our page.

3. How to find GCD of 990, 744, 83, 673 on a calculator?

You can find the GCD of 990, 744, 83, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.