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 359, 660, 922, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 359, 660, 922, 564 is 1
GCD(359, 660, 922, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 359, 660, 922, 564 is 1
GCD(359, 660, 922, 564) = 1
Given Input numbers are 359, 660, 922, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
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 359, 660, 922, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 660, 922, 564 is 1.
Therefore, GCD of numbers 359, 660, 922, 564 is 1
Given Input Data is 359, 660, 922, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 359 is 359
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 922 is 2 x 461
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(359, 660) = 236940
GCD(359, 660) = ( 359 x 660 ) / 236940
GCD(359, 660) = 236940 / 236940
GCD(359, 660) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
GCD(1, 922) = 922 / 922
GCD(1, 922) = 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 359, 660, 922, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 359, 660, 922, 564?
GCD of 359, 660, 922, 564 is 1
2. Where do I get the detailed procedure to find GCD of 359, 660, 922, 564?
You can find a detailed procedure to find GCD of 359, 660, 922, 564 on our page.
3. How to find GCD of 359, 660, 922, 564 on a calculator?
You can find the GCD of 359, 660, 922, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.