GCD of 890, 165, 552, 648 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 890, 165, 552, 648 i.e. 1 largest integer that divides all the numbers equally.

GCD of 890, 165, 552, 648 is 1

GCD(890, 165, 552, 648) = 1

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

GCD of

GCD of numbers 890, 165, 552, 648 is 1

GCD(890, 165, 552, 648) = 1

GCD of 890,165,552,648 Calculator

GCDof 890,165,552,648 is 1

Given Input numbers are 890, 165, 552, 648

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 890, 165, 552, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 165, 552, 648 is 1.

Therefore, GCD of numbers 890, 165, 552, 648 is 1

Finding GCD of 890, 165, 552, 648 using Prime Factorization

Given Input Data is 890, 165, 552, 648

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 890, 165, 552, 648 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(890, 165) = 29370

GCD(890, 165) = ( 890 x 165 ) / 29370

GCD(890, 165) = 146850 / 29370

GCD(890, 165) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 552

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

LCM(5, 552) = 2760

GCD(5, 552) = ( 5 x 552 ) / 2760

GCD(5, 552) = 2760 / 2760

GCD(5, 552) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 890, 165, 552, 648 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 890, 165, 552, 648

1. What is the GCD of 890, 165, 552, 648?

GCD of 890, 165, 552, 648 is 1


2. Where do I get the detailed procedure to find GCD of 890, 165, 552, 648?

You can find a detailed procedure to find GCD of 890, 165, 552, 648 on our page.


3. How to find GCD of 890, 165, 552, 648 on a calculator?

You can find the GCD of 890, 165, 552, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.