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 564, 238, 897, 535 i.e. 1 largest integer that divides all the numbers equally.
GCD of 564, 238, 897, 535 is 1
GCD(564, 238, 897, 535) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 564, 238, 897, 535 is 1
GCD(564, 238, 897, 535) = 1
Given Input numbers are 564, 238, 897, 535
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Greatest Common Divisior
We found the divisors of 564, 238, 897, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 238, 897, 535 is 1.
Therefore, GCD of numbers 564, 238, 897, 535 is 1
Given Input Data is 564, 238, 897, 535
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 535 is 5 x 107
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(564, 238) = 67116
GCD(564, 238) = ( 564 x 238 ) / 67116
GCD(564, 238) = 134232 / 67116
GCD(564, 238) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 897
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 897) = 1794
GCD(2, 897) = ( 2 x 897 ) / 1794
GCD(2, 897) = 1794 / 1794
GCD(2, 897) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 535) = 535
GCD(1, 535) = ( 1 x 535 ) / 535
GCD(1, 535) = 535 / 535
GCD(1, 535) = 1
GCD of 564, 238, 897, 535 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 564, 238, 897, 535?
GCD of 564, 238, 897, 535 is 1
2. Where do I get the detailed procedure to find GCD of 564, 238, 897, 535?
You can find a detailed procedure to find GCD of 564, 238, 897, 535 on our page.
3. How to find GCD of 564, 238, 897, 535 on a calculator?
You can find the GCD of 564, 238, 897, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.