GCD of 162, 380, 880, 550 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 162, 380, 880, 550 i.e. 2 largest integer that divides all the numbers equally.

GCD of 162, 380, 880, 550 is 2

GCD(162, 380, 880, 550) = 2

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

GCD of

GCD of numbers 162, 380, 880, 550 is 2

GCD(162, 380, 880, 550) = 2

GCD of 162,380,880,550 Calculator

GCDof 162,380,880,550 is 2

Given Input numbers are 162, 380, 880, 550

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 162, 380, 880, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 380, 880, 550 is 2.

Therefore, GCD of numbers 162, 380, 880, 550 is 2

Finding GCD of 162, 380, 880, 550 using Prime Factorization

Given Input Data is 162, 380, 880, 550

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 550 is 2 x 5 x 5 x 11

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 162, 380, 880, 550 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(162, 380) = 30780

GCD(162, 380) = ( 162 x 380 ) / 30780

GCD(162, 380) = 61560 / 30780

GCD(162, 380) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 880

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

LCM(2, 880) = 880

GCD(2, 880) = ( 2 x 880 ) / 880

GCD(2, 880) = 1760 / 880

GCD(2, 880) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 550

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

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

GCD(2, 550) = 1100 / 550

GCD(2, 550) = 2

GCD of 162, 380, 880, 550 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 162, 380, 880, 550

1. What is the GCD of 162, 380, 880, 550?

GCD of 162, 380, 880, 550 is 2


2. Where do I get the detailed procedure to find GCD of 162, 380, 880, 550?

You can find a detailed procedure to find GCD of 162, 380, 880, 550 on our page.


3. How to find GCD of 162, 380, 880, 550 on a calculator?

You can find the GCD of 162, 380, 880, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.