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, 113, 47, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 564, 113, 47, 297 is 1
GCD(564, 113, 47, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 564, 113, 47, 297 is 1
GCD(564, 113, 47, 297) = 1
Given Input numbers are 564, 113, 47, 297
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 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 564, 113, 47, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 113, 47, 297 is 1.
Therefore, GCD of numbers 564, 113, 47, 297 is 1
Given Input Data is 564, 113, 47, 297
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 113 is 113
Prime Factorization of 47 is 47
Prime Factorization of 297 is 3 x 3 x 3 x 11
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, 113) = 63732
GCD(564, 113) = ( 564 x 113 ) / 63732
GCD(564, 113) = 63732 / 63732
GCD(564, 113) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
GCD of 564, 113, 47, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 564, 113, 47, 297?
GCD of 564, 113, 47, 297 is 1
2. Where do I get the detailed procedure to find GCD of 564, 113, 47, 297?
You can find a detailed procedure to find GCD of 564, 113, 47, 297 on our page.
3. How to find GCD of 564, 113, 47, 297 on a calculator?
You can find the GCD of 564, 113, 47, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.