GCD of 362, 373, 990, 558 Calculator

Given Input numbers are 362, 373, 990, 558

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

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 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 362, 373, 990, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 373, 990, 558 is 1.

Therefore, GCD of numbers 362, 373, 990, 558 is 1

Given Input Data is 362, 373, 990, 558

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 373 is 373

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

Prime Factorization of 558 is 2 x 3 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(362, 373) = 135026

GCD(362, 373) = ( 362 x 373 ) / 135026

GCD(362, 373) = 135026 / 135026

GCD(362, 373) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 362, 373, 990, 558 is 1

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1. What is the GCD of 362, 373, 990, 558?

GCD of 362, 373, 990, 558 is 1

2. Where do I get the detailed procedure to find GCD of 362, 373, 990, 558?

You can find a detailed procedure to find GCD of 362, 373, 990, 558 on our page.

3. How to find GCD of 362, 373, 990, 558 on a calculator?

You can find the GCD of 362, 373, 990, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.