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, 584, 567, 618 i.e. 1 largest integer that divides all the numbers equally.
GCD of 564, 584, 567, 618 is 1
GCD(564, 584, 567, 618) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 564, 584, 567, 618 is 1
GCD(564, 584, 567, 618) = 1
Given Input numbers are 564, 584, 567, 618
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 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Greatest Common Divisior
We found the divisors of 564, 584, 567, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 584, 567, 618 is 1.
Therefore, GCD of numbers 564, 584, 567, 618 is 1
Given Input Data is 564, 584, 567, 618
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 584 is 2 x 2 x 2 x 73
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 618 is 2 x 3 x 103
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, 584) = 82344
GCD(564, 584) = ( 564 x 584 ) / 82344
GCD(564, 584) = 329376 / 82344
GCD(564, 584) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 567) = 2268
GCD(4, 567) = ( 4 x 567 ) / 2268
GCD(4, 567) = 2268 / 2268
GCD(4, 567) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 618
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 618) = 618
GCD(1, 618) = ( 1 x 618 ) / 618
GCD(1, 618) = 618 / 618
GCD(1, 618) = 1
GCD of 564, 584, 567, 618 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 564, 584, 567, 618?
GCD of 564, 584, 567, 618 is 1
2. Where do I get the detailed procedure to find GCD of 564, 584, 567, 618?
You can find a detailed procedure to find GCD of 564, 584, 567, 618 on our page.
3. How to find GCD of 564, 584, 567, 618 on a calculator?
You can find the GCD of 564, 584, 567, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.