GCD of 562, 166, 362, 990 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 562, 166, 362, 990 i.e. 2 largest integer that divides all the numbers equally.

GCD of 562, 166, 362, 990 is 2

GCD(562, 166, 362, 990) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 562, 166, 362, 990 is 2

GCD(562, 166, 362, 990) = 2

GCD of 562,166,362,990 Calculator

GCDof 562,166,362,990 is 2

Given Input numbers are 562, 166, 362, 990

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 362

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

1, 2, 181, 362

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 562, 166, 362, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 166, 362, 990 is 2.

Therefore, GCD of numbers 562, 166, 362, 990 is 2

Finding GCD of 562, 166, 362, 990 using Prime Factorization

Given Input Data is 562, 166, 362, 990

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 166 is 2 x 83

Prime Factorization of 362 is 2 x 181

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

Finding GCD of 562, 166, 362, 990 using LCM Formula

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(562, 166) = 46646

GCD(562, 166) = ( 562 x 166 ) / 46646

GCD(562, 166) = 93292 / 46646

GCD(562, 166) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 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 562, 166, 362, 990 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 562, 166, 362, 990

1. What is the GCD of 562, 166, 362, 990?

GCD of 562, 166, 362, 990 is 2


2. Where do I get the detailed procedure to find GCD of 562, 166, 362, 990?

You can find a detailed procedure to find GCD of 562, 166, 362, 990 on our page.


3. How to find GCD of 562, 166, 362, 990 on a calculator?

You can find the GCD of 562, 166, 362, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.