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 numbers 891, 900, 43, 128 is 1
GCD(891, 900, 43, 128) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.