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 533, 356, 560, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 533, 356, 560, 216 is 1
GCD(533, 356, 560, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 533, 356, 560, 216 is 1
GCD(533, 356, 560, 216) = 1
Given Input numbers are 533, 356, 560, 216
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
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 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Greatest Common Divisior
We found the divisors of 533, 356, 560, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 356, 560, 216 is 1.
Therefore, GCD of numbers 533, 356, 560, 216 is 1
Given Input Data is 533, 356, 560, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 533 is 13 x 41
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
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(533, 356) = 189748
GCD(533, 356) = ( 533 x 356 ) / 189748
GCD(533, 356) = 189748 / 189748
GCD(533, 356) = 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 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
GCD of 533, 356, 560, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 533, 356, 560, 216?
GCD of 533, 356, 560, 216 is 1
2. Where do I get the detailed procedure to find GCD of 533, 356, 560, 216?
You can find a detailed procedure to find GCD of 533, 356, 560, 216 on our page.
3. How to find GCD of 533, 356, 560, 216 on a calculator?
You can find the GCD of 533, 356, 560, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.