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 581, 126, 16, 538 i.e. 1 largest integer that divides all the numbers equally.
GCD of 581, 126, 16, 538 is 1
GCD(581, 126, 16, 538) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 581, 126, 16, 538 is 1
GCD(581, 126, 16, 538) = 1
Given Input numbers are 581, 126, 16, 538
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 581
List of positive integer divisors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Greatest Common Divisior
We found the divisors of 581, 126, 16, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 581, 126, 16, 538 is 1.
Therefore, GCD of numbers 581, 126, 16, 538 is 1
Given Input Data is 581, 126, 16, 538
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 581 is 7 x 83
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 538 is 2 x 269
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(581, 126) = 10458
GCD(581, 126) = ( 581 x 126 ) / 10458
GCD(581, 126) = 73206 / 10458
GCD(581, 126) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 16) = 112
GCD(7, 16) = ( 7 x 16 ) / 112
GCD(7, 16) = 112 / 112
GCD(7, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 538
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
GCD(1, 538) = 538 / 538
GCD(1, 538) = 1
GCD of 581, 126, 16, 538 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 581, 126, 16, 538?
GCD of 581, 126, 16, 538 is 1
2. Where do I get the detailed procedure to find GCD of 581, 126, 16, 538?
You can find a detailed procedure to find GCD of 581, 126, 16, 538 on our page.
3. How to find GCD of 581, 126, 16, 538 on a calculator?
You can find the GCD of 581, 126, 16, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.