GCD of 891, 900, 43, 128 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 891, 900, 43, 128 i.e. 1 largest integer that divides all the numbers equally.

GCD of 891, 900, 43, 128 is 1

GCD(891, 900, 43, 128) = 1

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

GCD of

GCD of numbers 891, 900, 43, 128 is 1

GCD(891, 900, 43, 128) = 1

GCD of 891,900,43,128 Calculator

GCDof 891,900,43,128 is 1

Given Input numbers are 891, 900, 43, 128

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 891, 900, 43, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 900, 43, 128 is 1.

Therefore, GCD of numbers 891, 900, 43, 128 is 1

Finding GCD of 891, 900, 43, 128 using Prime Factorization

Given Input Data is 891, 900, 43, 128

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 43 is 43

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Finding GCD of 891, 900, 43, 128 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(891, 900) = 89100

GCD(891, 900) = ( 891 x 900 ) / 89100

GCD(891, 900) = 801900 / 89100

GCD(891, 900) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 43

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

LCM(9, 43) = 387

GCD(9, 43) = ( 9 x 43 ) / 387

GCD(9, 43) = 387 / 387

GCD(9, 43) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

GCD of 891, 900, 43, 128 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 891, 900, 43, 128

1. What is the GCD of 891, 900, 43, 128?

GCD of 891, 900, 43, 128 is 1


2. Where do I get the detailed procedure to find GCD of 891, 900, 43, 128?

You can find a detailed procedure to find GCD of 891, 900, 43, 128 on our page.


3. How to find GCD of 891, 900, 43, 128 on a calculator?

You can find the GCD of 891, 900, 43, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.