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 90, 543, 490, 891 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 543, 490, 891 is 1
GCD(90, 543, 490, 891) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 543, 490, 891 is 1
GCD(90, 543, 490, 891) = 1
Given Input numbers are 90, 543, 490, 891
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
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
Greatest Common Divisior
We found the divisors of 90, 543, 490, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 543, 490, 891 is 1.
Therefore, GCD of numbers 90, 543, 490, 891 is 1
Given Input Data is 90, 543, 490, 891
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 543 is 3 x 181
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
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(90, 543) = 16290
GCD(90, 543) = ( 90 x 543 ) / 16290
GCD(90, 543) = 48870 / 16290
GCD(90, 543) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 490) = 1470
GCD(3, 490) = ( 3 x 490 ) / 1470
GCD(3, 490) = 1470 / 1470
GCD(3, 490) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
GCD(1, 891) = 891 / 891
GCD(1, 891) = 1
GCD of 90, 543, 490, 891 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 543, 490, 891?
GCD of 90, 543, 490, 891 is 1
2. Where do I get the detailed procedure to find GCD of 90, 543, 490, 891?
You can find a detailed procedure to find GCD of 90, 543, 490, 891 on our page.
3. How to find GCD of 90, 543, 490, 891 on a calculator?
You can find the GCD of 90, 543, 490, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.