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 150, 564, 89, 605 i.e. 1 largest integer that divides all the numbers equally.
GCD of 150, 564, 89, 605 is 1
GCD(150, 564, 89, 605) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 564, 89, 605 is 1
GCD(150, 564, 89, 605) = 1
Given Input numbers are 150, 564, 89, 605
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
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 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Greatest Common Divisior
We found the divisors of 150, 564, 89, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 564, 89, 605 is 1.
Therefore, GCD of numbers 150, 564, 89, 605 is 1
Given Input Data is 150, 564, 89, 605
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 89 is 89
Prime Factorization of 605 is 5 x 11 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(150, 564) = 14100
GCD(150, 564) = ( 150 x 564 ) / 14100
GCD(150, 564) = 84600 / 14100
GCD(150, 564) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 89) = 534
GCD(6, 89) = ( 6 x 89 ) / 534
GCD(6, 89) = 534 / 534
GCD(6, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 605) = 605
GCD(1, 605) = ( 1 x 605 ) / 605
GCD(1, 605) = 605 / 605
GCD(1, 605) = 1
GCD of 150, 564, 89, 605 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 564, 89, 605?
GCD of 150, 564, 89, 605 is 1
2. Where do I get the detailed procedure to find GCD of 150, 564, 89, 605?
You can find a detailed procedure to find GCD of 150, 564, 89, 605 on our page.
3. How to find GCD of 150, 564, 89, 605 on a calculator?
You can find the GCD of 150, 564, 89, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.