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, 648, 592, 955 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 648, 592, 955 is 1
GCD(16, 648, 592, 955) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 648, 592, 955 is 1
GCD(16, 648, 592, 955) = 1
Given Input numbers are 16, 648, 592, 955
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 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Greatest Common Divisior
We found the divisors of 16, 648, 592, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 648, 592, 955 is 1.
Therefore, GCD of numbers 16, 648, 592, 955 is 1
Given Input Data is 16, 648, 592, 955
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 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 955 is 5 x 191
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, 648) = 1296
GCD(16, 648) = ( 16 x 648 ) / 1296
GCD(16, 648) = 10368 / 1296
GCD(16, 648) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 592
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 592) = 592
GCD(8, 592) = ( 8 x 592 ) / 592
GCD(8, 592) = 4736 / 592
GCD(8, 592) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 955) = 7640
GCD(8, 955) = ( 8 x 955 ) / 7640
GCD(8, 955) = 7640 / 7640
GCD(8, 955) = 1
GCD of 16, 648, 592, 955 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 648, 592, 955?
GCD of 16, 648, 592, 955 is 1
2. Where do I get the detailed procedure to find GCD of 16, 648, 592, 955?
You can find a detailed procedure to find GCD of 16, 648, 592, 955 on our page.
3. How to find GCD of 16, 648, 592, 955 on a calculator?
You can find the GCD of 16, 648, 592, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.