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, 893, 560, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 893, 560, 564 is 1
GCD(16, 893, 560, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 893, 560, 564 is 1
GCD(16, 893, 560, 564) = 1
Given Input numbers are 16, 893, 560, 564
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 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 16, 893, 560, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 893, 560, 564 is 1.
Therefore, GCD of numbers 16, 893, 560, 564 is 1
Given Input Data is 16, 893, 560, 564
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 893 is 19 x 47
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 564 is 2 x 2 x 3 x 47
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, 893) = 14288
GCD(16, 893) = ( 16 x 893 ) / 14288
GCD(16, 893) = 14288 / 14288
GCD(16, 893) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
GCD(1, 560) = 560 / 560
GCD(1, 560) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
GCD of 16, 893, 560, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 893, 560, 564?
GCD of 16, 893, 560, 564 is 1
2. Where do I get the detailed procedure to find GCD of 16, 893, 560, 564?
You can find a detailed procedure to find GCD of 16, 893, 560, 564 on our page.
3. How to find GCD of 16, 893, 560, 564 on a calculator?
You can find the GCD of 16, 893, 560, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.