GCD of 454, 568, 542, 990 Calculator

Given Input numbers are 454, 568, 542, 990

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

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

Greatest Common Divisior

We found the divisors of 454, 568, 542, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 568, 542, 990 is 2.

Therefore, GCD of numbers 454, 568, 542, 990 is 2

Given Input Data is 454, 568, 542, 990

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 542 is 2 x 271

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(454, 568) = 128936

GCD(454, 568) = ( 454 x 568 ) / 128936

GCD(454, 568) = 257872 / 128936

GCD(454, 568) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 542

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

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

GCD(2, 542) = 1084 / 542

GCD(2, 542) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 990

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

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

GCD(2, 990) = 1980 / 990

GCD(2, 990) = 2

GCD of 454, 568, 542, 990 is 2

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1. What is the GCD of 454, 568, 542, 990?

GCD of 454, 568, 542, 990 is 2

2. Where do I get the detailed procedure to find GCD of 454, 568, 542, 990?

You can find a detailed procedure to find GCD of 454, 568, 542, 990 on our page.

3. How to find GCD of 454, 568, 542, 990 on a calculator?

You can find the GCD of 454, 568, 542, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.