GCD of 18, 990, 557, 699 Calculator

Given Input numbers are 18, 990, 557, 699

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 18, 990, 557, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 990, 557, 699 is 1.

Therefore, GCD of numbers 18, 990, 557, 699 is 1

Given Input Data is 18, 990, 557, 699

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

Prime Factorization of 18 is 2 x 3 x 3

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

Prime Factorization of 557 is 557

Prime Factorization of 699 is 3 x 233

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(18, 990) = 990

GCD(18, 990) = ( 18 x 990 ) / 990

GCD(18, 990) = 17820 / 990

GCD(18, 990) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 557

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

LCM(18, 557) = 10026

GCD(18, 557) = ( 18 x 557 ) / 10026

GCD(18, 557) = 10026 / 10026

GCD(18, 557) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 18, 990, 557, 699 is 1

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• GCD of 85, 478, 565, 585
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1. What is the GCD of 18, 990, 557, 699?

GCD of 18, 990, 557, 699 is 1

2. Where do I get the detailed procedure to find GCD of 18, 990, 557, 699?

You can find a detailed procedure to find GCD of 18, 990, 557, 699 on our page.

3. How to find GCD of 18, 990, 557, 699 on a calculator?

You can find the GCD of 18, 990, 557, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.