GCD of 990, 784, 54, 383 Calculator

Given Input numbers are 990, 784, 54, 383

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 990, 784, 54, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 784, 54, 383 is 1.

Therefore, GCD of numbers 990, 784, 54, 383 is 1

Given Input Data is 990, 784, 54, 383

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 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 383 is 383

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, 784) = 388080

GCD(990, 784) = ( 990 x 784 ) / 388080

GCD(990, 784) = 776160 / 388080

GCD(990, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 383

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

LCM(2, 383) = 766

GCD(2, 383) = ( 2 x 383 ) / 766

GCD(2, 383) = 766 / 766

GCD(2, 383) = 1

GCD of 990, 784, 54, 383 is 1

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• GCD of 746, 579, 61, 742
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1. What is the GCD of 990, 784, 54, 383?

GCD of 990, 784, 54, 383 is 1

2. Where do I get the detailed procedure to find GCD of 990, 784, 54, 383?

You can find a detailed procedure to find GCD of 990, 784, 54, 383 on our page.

3. How to find GCD of 990, 784, 54, 383 on a calculator?

You can find the GCD of 990, 784, 54, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.