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 16, 321, 745, 577 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 321, 745, 577 is 1
GCD(16, 321, 745, 577) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 321, 745, 577 is 1
GCD(16, 321, 745, 577) = 1
Given Input numbers are 16, 321, 745, 577
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Greatest Common Divisior
We found the divisors of 16, 321, 745, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 321, 745, 577 is 1.
Therefore, GCD of numbers 16, 321, 745, 577 is 1
Given Input Data is 16, 321, 745, 577
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 321 is 3 x 107
Prime Factorization of 745 is 5 x 149
Prime Factorization of 577 is 577
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(16, 321) = 5136
GCD(16, 321) = ( 16 x 321 ) / 5136
GCD(16, 321) = 5136 / 5136
GCD(16, 321) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 577
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 577) = 577
GCD(1, 577) = ( 1 x 577 ) / 577
GCD(1, 577) = 577 / 577
GCD(1, 577) = 1
GCD of 16, 321, 745, 577 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 321, 745, 577?
GCD of 16, 321, 745, 577 is 1
2. Where do I get the detailed procedure to find GCD of 16, 321, 745, 577?
You can find a detailed procedure to find GCD of 16, 321, 745, 577 on our page.
3. How to find GCD of 16, 321, 745, 577 on a calculator?
You can find the GCD of 16, 321, 745, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.