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 27, 501, 541, 622 i.e. 1 largest integer that divides all the numbers equally.
GCD of 27, 501, 541, 622 is 1
GCD(27, 501, 541, 622) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 501, 541, 622 is 1
GCD(27, 501, 541, 622) = 1
Given Input numbers are 27, 501, 541, 622
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Greatest Common Divisior
We found the divisors of 27, 501, 541, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 501, 541, 622 is 1.
Therefore, GCD of numbers 27, 501, 541, 622 is 1
Given Input Data is 27, 501, 541, 622
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 501 is 3 x 167
Prime Factorization of 541 is 541
Prime Factorization of 622 is 2 x 311
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(27, 501) = 4509
GCD(27, 501) = ( 27 x 501 ) / 4509
GCD(27, 501) = 13527 / 4509
GCD(27, 501) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 541
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 541) = 1623
GCD(3, 541) = ( 3 x 541 ) / 1623
GCD(3, 541) = 1623 / 1623
GCD(3, 541) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 622
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 622) = 622
GCD(1, 622) = ( 1 x 622 ) / 622
GCD(1, 622) = 622 / 622
GCD(1, 622) = 1
GCD of 27, 501, 541, 622 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 27, 501, 541, 622?
GCD of 27, 501, 541, 622 is 1
2. Where do I get the detailed procedure to find GCD of 27, 501, 541, 622?
You can find a detailed procedure to find GCD of 27, 501, 541, 622 on our page.
3. How to find GCD of 27, 501, 541, 622 on a calculator?
You can find the GCD of 27, 501, 541, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.