GCD of 990, 931, 549, 618 Calculator

Given Input numbers are 990, 931, 549, 618

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 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 990, 931, 549, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 931, 549, 618 is 1.

Therefore, GCD of numbers 990, 931, 549, 618 is 1

Given Input Data is 990, 931, 549, 618

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 931 is 7 x 7 x 19

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 618 is 2 x 3 x 103

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, 931) = 921690

GCD(990, 931) = ( 990 x 931 ) / 921690

GCD(990, 931) = 921690 / 921690

GCD(990, 931) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

GCD of 990, 931, 549, 618 is 1

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1. What is the GCD of 990, 931, 549, 618?

GCD of 990, 931, 549, 618 is 1

2. Where do I get the detailed procedure to find GCD of 990, 931, 549, 618?

You can find a detailed procedure to find GCD of 990, 931, 549, 618 on our page.

3. How to find GCD of 990, 931, 549, 618 on a calculator?

You can find the GCD of 990, 931, 549, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.