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 152, 609, 69, 915 i.e. 1 largest integer that divides all the numbers equally.
GCD of 152, 609, 69, 915 is 1
GCD(152, 609, 69, 915) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 152, 609, 69, 915 is 1
GCD(152, 609, 69, 915) = 1
Given Input numbers are 152, 609, 69, 915
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Greatest Common Divisior
We found the divisors of 152, 609, 69, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 609, 69, 915 is 1.
Therefore, GCD of numbers 152, 609, 69, 915 is 1
Given Input Data is 152, 609, 69, 915
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 69 is 3 x 23
Prime Factorization of 915 is 3 x 5 x 61
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(152, 609) = 92568
GCD(152, 609) = ( 152 x 609 ) / 92568
GCD(152, 609) = 92568 / 92568
GCD(152, 609) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 915) = 915
GCD(1, 915) = ( 1 x 915 ) / 915
GCD(1, 915) = 915 / 915
GCD(1, 915) = 1
GCD of 152, 609, 69, 915 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 152, 609, 69, 915?
GCD of 152, 609, 69, 915 is 1
2. Where do I get the detailed procedure to find GCD of 152, 609, 69, 915?
You can find a detailed procedure to find GCD of 152, 609, 69, 915 on our page.
3. How to find GCD of 152, 609, 69, 915 on a calculator?
You can find the GCD of 152, 609, 69, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.