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, 136, 540, 581 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 136, 540, 581 is 1
GCD(90, 136, 540, 581) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 136, 540, 581 is 1
GCD(90, 136, 540, 581) = 1
Given Input numbers are 90, 136, 540, 581
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 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 581
List of positive integer divisors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Greatest Common Divisior
We found the divisors of 90, 136, 540, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 136, 540, 581 is 1.
Therefore, GCD of numbers 90, 136, 540, 581 is 1
Given Input Data is 90, 136, 540, 581
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 136 is 2 x 2 x 2 x 17
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 581 is 7 x 83
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, 136) = 6120
GCD(90, 136) = ( 90 x 136 ) / 6120
GCD(90, 136) = 12240 / 6120
GCD(90, 136) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 540) = 540
GCD(2, 540) = ( 2 x 540 ) / 540
GCD(2, 540) = 1080 / 540
GCD(2, 540) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 581
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 581) = 1162
GCD(2, 581) = ( 2 x 581 ) / 1162
GCD(2, 581) = 1162 / 1162
GCD(2, 581) = 1
GCD of 90, 136, 540, 581 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 136, 540, 581?
GCD of 90, 136, 540, 581 is 1
2. Where do I get the detailed procedure to find GCD of 90, 136, 540, 581?
You can find a detailed procedure to find GCD of 90, 136, 540, 581 on our page.
3. How to find GCD of 90, 136, 540, 581 on a calculator?
You can find the GCD of 90, 136, 540, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.