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 156, 909, 19, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 156, 909, 19, 769 is 1
GCD(156, 909, 19, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 156, 909, 19, 769 is 1
GCD(156, 909, 19, 769) = 1
Given Input numbers are 156, 909, 19, 769
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Greatest Common Divisior
We found the divisors of 156, 909, 19, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 909, 19, 769 is 1.
Therefore, GCD of numbers 156, 909, 19, 769 is 1
Given Input Data is 156, 909, 19, 769
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 19 is 19
Prime Factorization of 769 is 769
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(156, 909) = 47268
GCD(156, 909) = ( 156 x 909 ) / 47268
GCD(156, 909) = 141804 / 47268
GCD(156, 909) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 19) = 57
GCD(3, 19) = ( 3 x 19 ) / 57
GCD(3, 19) = 57 / 57
GCD(3, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
GCD(1, 769) = 769 / 769
GCD(1, 769) = 1
GCD of 156, 909, 19, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 156, 909, 19, 769?
GCD of 156, 909, 19, 769 is 1
2. Where do I get the detailed procedure to find GCD of 156, 909, 19, 769?
You can find a detailed procedure to find GCD of 156, 909, 19, 769 on our page.
3. How to find GCD of 156, 909, 19, 769 on a calculator?
You can find the GCD of 156, 909, 19, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.